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Relevant bibliographies by topics / Manifolds with boundary

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Academic literature on the topic 'Manifolds with boundary'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "Manifolds with boundary"

1

Castro, Nickolas A., David T. Gay, and Juanita Pinzón-Caicedo. "Trisections of 4-manifolds with boundary." Proceedings of the National Academy of Sciences 115, no. 43 (2018): 10861–68. http://dx.doi.org/10.1073/pnas.1717170115.

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Given a handle decomposition of a 4-manifold with boundary and an open book decomposition of the boundary, we show how to produce a trisection diagram of a trisection of the 4-manifold inducing the given open book. We do this by making the original proof of the existence of relative trisections more explicit in terms of handles. Furthermore, we extend this existence result to the case of 4-manifolds with multiple boundary components and show how trisected 4-manifolds with multiple boundary components glue together.

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Gu, Shijie, and Craig R. Guilbault. "Compactifications of manifolds with boundary." Journal of Topology and Analysis 12, no. 04 (2018): 1073–101. http://dx.doi.org/10.1142/s1793525319500754.

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This paper is concerned with compactifications of high-dimensional manifolds. Siebenmann’s iconic 1965 dissertation [L. C. Siebenmann, The obstruction to finding a boundary for an open manifold of dimension greater than five, Ph.D. thesis, Princeton Univ. (1965), MR 2615648] provided necessary and sufficient conditions for an open manifold [Formula: see text] ([Formula: see text]) to be compactifiable by addition of a manifold boundary. His theorem extends easily to cases where [Formula: see text] is noncompact with compact boundary; however, when [Formula: see text] is noncompact, the situati

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Lee, Sangyop, and Masakazu Teragaito. "Boundary Structure of Hyperbolic 3-Manifolds Admitting Annular and Toroidal Fillings at Large Distance." Canadian Journal of Mathematics 60, no. 1 (2008): 164–88. http://dx.doi.org/10.4153/cjm-2008-007-6.

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AbstractFor a hyperbolic 3-manifold M with a torus boundary component, all but finitely many Dehn fillings yield hyperbolic 3-manifolds. In this paper, we will focus on the situation where M has two exceptional Dehn fillings: an annular filling and a toroidal filling. For such a situation, Gordon gave an upper bound of 5 for the distance between such slopes. Furthermore, the distance 4 is realized only by two specific manifolds, and 5 is realized by a single manifold. These manifolds all have a union of two tori as their boundaries. Also, there is a manifold with three tori as its boundary whi

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Heil, Wolfgang, and Pedja Raspopović. "Dehn fillings of Klein bottle bundles." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 2 (1992): 255–70. http://dx.doi.org/10.1017/s0305004100070948.

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An important problem in the topology of 3-manifolds is to classify manifolds obtained by Dehn surgeries on a knot in a closed 3-manifold, or equivalently, Dehn fillings of a 3-manifold M with boundary a torus.

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Perales, Raquel. "Convergence of manifolds and metric spaces with boundary." Journal of Topology and Analysis 12, no. 03 (2018): 735–74. http://dx.doi.org/10.1142/s1793525319500638.

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We study sequences of oriented Riemannian manifolds with boundary and, more generally, integral current spaces and metric spaces with boundary. We prove theorems demonstrating when the Gromov–Hausdorff (GH) and Sormani–Wenger Intrinsic Flat (SWIF) limits of sequences of such metric spaces agree. Thus in particular the limit spaces are countably [Formula: see text] rectifiable spaces. From these theorems we derive compactness theorems for sequences of Riemannian manifolds with boundary where both the GH and SWIF limits agree. For sequences of Riemannian manifolds with boundary we only require n

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Silver, Daniel S. "Examples of 3-knots with no minimal Seifert manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 110, no. 3 (1991): 417–20. http://dx.doi.org/10.1017/s0305004100070481.

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We work throughout in the smooth category. Homomorphisms of fundamental and homology groups are induced by inclusion. Ann-knot, formn≥ 1, is an embeddedn-sphereK⊂Sn+2. ASeifert manifoldforKis a compact, connected, orientable (n+ 1)-manifoldV⊂Sn+2with boundary ∂V=K. By [9] Seifert manifolds always exist. As in [9] letYdenoteSn+2split alongV; Yis a compact manifold with ∂Y=V0∪V1, whereVt≈V. We say thatVis aminimal Seifert manifoldforKif π1Vt→ π1Yis a monomorphism fort= 0, 1. (Here and throughout basepoint considerations are suppressed.)

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IKEDA, TORU. "Finite group actions on homologically peripheral 3-manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 151, no. 2 (2011): 319–37. http://dx.doi.org/10.1017/s0305004111000302.

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AbstractWe generalize the notion of totally peripheral 3-manifolds to define homologically peripheral 3-manifolds. The homologically peripheral property survives canonical decompositions of 3-manifolds as well as it defines a sufficiently large class of 3-manifolds containing link exteriors. The aim of this paper is to study finite group actions on a homologically peripheral 3-manifold, which agree on the boundary, up to equivalence relative to the boundary. As an application, we generalize Sakuma's theorems on the uniqueness of symmetries of knots to the case of symmetries of links.

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Heil, Wolfgang, and Seiya Negami. "Graphs and projective plaines in3-manifolds." International Journal of Mathematics and Mathematical Sciences 9, no. 3 (1986): 551–60. http://dx.doi.org/10.1155/s0161171286000698.

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Proper homotopy equivalent compactP2-irreducible and sufficiently large3-manifolds are homemorphic. The result is not known for irreducible3-manifolds that contain2-sided projective planes, even if one assumes the Poincaré conjecture. In this paper to such a3-manifoldMis associated a graphG(M)that specifies how a maximal system of mutually disjoint non-isotopic projective planes is embedded inM, and it is shown thatG(M)is an invariant of the homotopy type ofM. On the other hand it is shown that any given graph can be realized asG(M)for infinitely many irreducible and boundary irreducibleM.As a

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Wang, Jian, and Yong Wang. "A general Kastler–Kalau–Walze type theorem for manifolds with boundary." International Journal of Geometric Methods in Modern Physics 13, no. 01 (2016): 1650003. http://dx.doi.org/10.1142/s0219887816500031.

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In this paper, we establish a general Kastler–Kalau–Walze type theorem for any dimensional manifolds with boundary which generalizes the results in [Y. Wang, Lower-dimensional volumes and Kastler–Kalau–Walze type theorem for manifolds with boundary, Commun. Theor. Phys. 54 (2010) 38–42]. This solves a problem of the referee of [J. Wang and Y. Wang, A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary, Int. J. Geom. Meth. Mod. Phys. 12(5) (2015), Article ID: 1550064, 34 pp.], which is a general expression of the lower dimensional volumes in terms of the geometric data

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CASALI, MARIA RITA, and PAOLA CRISTOFORI. "COMPUTING MATVEEV'S COMPLEXITY VIA CRYSTALLIZATION THEORY: THE BOUNDARY CASE." Journal of Knot Theory and Its Ramifications 22, no. 08 (2013): 1350038. http://dx.doi.org/10.1142/s0218216513500387.

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The notion of Gem–Matveev complexity (GM-complexity) has been introduced within crystallization theory, as a combinatorial method to estimate Matveev's complexity of closed 3-manifolds; it yielded upper bounds for interesting classes of such manifolds. In this paper, we extend the definition to the case of non-empty boundary and prove that for each compact irreducible and boundary-irreducible 3-manifold it coincides with the modified Heegaard complexity introduced by Cattabriga, Mulazzani and Vesnin. Moreover, via GM-complexity, we obtain an estimation of Matveev's complexity for all Seifert 3

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Dissertations / Theses on the topic "Manifolds with boundary"

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Gálvez, Carrillo Maria Immaculada. "Modular invariants for manifolds with Boundary." Doctoral thesis, Universitat Autònoma de Barcelona, 2001. http://hdl.handle.net/10803/3071.

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Kytmanov, Alexander, Simona Myslivets, and Nikolai Tarkhanov. "Holomorphic Lefschetz formula for manifolds with boundary." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2635/.

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The classical Lefschetz fixed point formula expresses the number of fixed points of a continuous map f : M -> M in terms of the transformation induced by f on the cohomology of M. In 1966 Atiyah and Bott extended this formula to elliptic complexes over a compact closed manifold. In particular, they presented a holomorphic Lefschtz formula for compact complex manifolds without boundary, a result, in the framework of algebraic geometry due to Eichler (1957) for holomorphic curves. On compact complex manifolds with boundary the Dolbeault complex is not elliptic, hence the Atiyah-Bott theory is no

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Truman, Christopher Brian. "Turaev torsion of 3-manifolds with boundary." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3453.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Christiansen, Tanya J. (Tanya Julie). "Scattering theory on compact manifolds with boundary." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12325.

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Krainer, Thomas. "Resolvents of elliptic boundary problems on conic manifolds." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2977/.

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We prove the existence of sectors of minimal growth for realizations of boundary value problems on conic manifolds under natural ellipticity conditions. Special attention is devoted to the clarification of the analytic structure of the resolvent.

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Krainer, Thomas. "Elliptic boundary problems on manifolds with polycylindrical ends." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2991/.

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We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel’s calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on m

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FrÃ¸yshov, Kim A. "On Floer homology and four-manifolds with boundary." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282194.

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Fehlinger, Luise. "Boundary constructions for CR manifolds and Fefferman spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/17020.

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In dieser Dissertation werden Cartan-Ränder von CR-Mannigfaltigkeiten und ihren Fefferman-Räumen besprochen. Der Fefferman-Raum einer strikt pseudo-konvexen CR-Mannigfaltigkeit ist als das Bündel aller reellen Strahlen im kanonischen, komplexen Linienbündel definiert. Eine andere Definition nutzt die Cartan-Geometrie und führt zu einer starken Beziehung zwischen den Cartan-Geometrien der CR-Mannigfaltigkeit und des zugehörigen Fefferman-Raumes. Allerdings wird hier die Existenz einer gewissen Wurzel des antikanonischen, komplexen Linienbündels, dessen Existenz nur lokal gesichert ist, vorau

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Nguyen, Timothy (Timothy Chieu). "The Seiberg-Witten equations on manifolds with boundary." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67811.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 249-252).<br>In this thesis, we undertake an in-depth study of the Seiberg-Witten equations on manifolds with boundary. We divide our study into three parts. In Part One, we study the Seiberg-Witten equations on a compact 3-manifold with boundary. Here, we study the solution space of these equations without imposing any boundary conditions. We show that the boundary values of this solution space yield an infinite dimensional Lag

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Kapanadze, David, and Bert-Wolfgang Schulze. "Boundary value problems on manifolds with exits to infinity." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2572/.

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We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we

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Books on the topic "Manifolds with boundary"

1

Booß-Bavnbek, Bernhelm, Gerd Grubb, and Krzysztof P. Wojciechowski, eds. Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds. American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/366.

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Esposito, Giampiero. Euclidean Quantum Gravity on Manifolds with Boundary. Springer Netherlands, 1997.

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3

McCullough, Darryl. Homeomorphisms of 3-manifolds with compressible boundary. American Mathematical Society, 1986.

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Esposito, Giampiero, Alexander Yu Kamenshchik, and Giuseppe Pollifrone. Euclidean Quantum Gravity on Manifolds with Boundary. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5806-0.

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5

Esposito, Giampiero. Euclidean quantum gravity on manifolds with boundary. Kluwer Academic Publishers, 1997.

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6

Frank, L. S. Spaces and singular perturbations on manifolds without boundary. North-Holland, 1990.

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Dumortier, Freddy. Canard cycles and center manifolds. American Mathematical Society, 1996.

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1941-, Booss Bernhelm, Grubb Gerd, and Wojciechowski Krzysztof P. 1953-, eds. Spectral geometry of manifolds with boundary and decomposition of manifolds: Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003. American Mathematical Society, 2005.

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9

1944-, Moscovici Henri, and Pflaum M. (Markus), eds. Connes-Chern character for manifolds with boundary and eta cochains. American Mathematical Society, 2012.

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Singular perturbations I. Spaces and singular perturbations on manifolds without boundary. North-Holland, 1990.

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Book chapters on the topic "Manifolds with boundary"

1

Villanacci, Antonio, Laura Carosi, Pierluigi Benevieri, and Andrea Battinelli. "Manifolds with Boundary." In Differential Topology and General Equilibrium with Complete and Incomplete Markets. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-3619-9_5.

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Jänich, Klaus. "Manifolds-with-Boundary." In Vector Analysis. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3478-2_6.

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Benedetti, Riccardo, and Carlo Petronio. "Manifolds with boundary." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093624.

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Ballmann, Werner, Mikhael Gromov, and Viktor Schroeder. "Ideal boundary." In Manifolds of Nonpositive Curvature. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4684-9159-3_3.

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Esposito, Giampiero, Alexander Yu Kamenshchik, and Giuseppe Pollifrone. "Boundary Conditions." In Euclidean Quantum Gravity on Manifolds with Boundary. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5806-0_6.

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Cnops, Jan. "Boundary Values." In An Introduction to Dirac Operators on Manifolds. Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0065-9_6.

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Kalik, K., R. Quatember, and W. L. Wendland. "Interpolation, Triangulation and Numerical Integration on Closed Manifolds." In Boundary Element Topics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60791-2_19.

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Han, Qing, and Jia-Xing Hong. "Boundary value problems." In Isometric Embedding of Riemannian Manifolds in Euclidean Spaces. American Mathematical Society, 2006. http://dx.doi.org/10.1090/surv/130/11.

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Booß-Bavnbek, Bernhelm, and Krzysztof P. Wojciechowski. "Sobolev Spaces on Manifolds with Boundary." In Elliptic Boundary Problems for Dirac Operators. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0337-7_11.

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Kühnel, Wolfgang. "Connected sums and manifolds with boundary." In Tight Polyhedral Submanifolds and Tight Triangulations. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0096347.

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Conference papers on the topic "Manifolds with boundary"

1

HILSUM, MICHEL. "HILBERT MODULES OF FOLIATED MANIFOLDS WITH BOUNDARY." In Proceedings of the Euroworkshop. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778246_0015.

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BASTIANELLI, F., O. CORRADINI, P. A. G. PISANI, and C. SCHUBERT. "WORLDLINE APPROACH TO QFT ON MANIFOLDS WITH BOUNDARY." In Proceedings of the Ninth Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814289931_0051.

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KARADI, MATYAS. "TOWARDS REGGE CALCULUS ON 3 DIMENSIONAL MANIFOLDS WITH BOUNDARY." In Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF). World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812704030_0320.

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Valdez-Sanchez, Luis G. "Seifert Klein bottles for knots with common boundary slopes." In Conference on the Topology of Manifolds of Dimensions 3 and 4. Mathematical Sciences Publishers, 2004. http://dx.doi.org/10.2140/gtm.2004.7.27.

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Gear, C. W., E. Chiavazzo, and I. G. Kevrekidis. "Manifolds defined by points: Parameterizing and boundary detection (extended abstract)." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4951749.

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Sparapany, Michael J., and Michael Grant. "Numerical Algorithms for Solving Boundary-Value Problems on Reduced Dimensional Manifolds." In AIAA Aviation 2019 Forum. American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-3666.

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Vasilyev, Vladimir. "Towards the theory of boundary value problems on non-smooth manifolds." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040277.

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Kuehl, Joseph, and David Chelidze. "Invariant Manifold Detection From Phase Space Trajectories." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67473.

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Invariant manifolds provide important information about the structure of flows. When basins of attraction are present, the stable invariant manifold serves as the boundary between these basins. Thus, in experimental applications such as vibrations problems, knowledge of these manifolds is essential to understanding the evolution of phase space trajectories. Most existing methods for identifying invariant manifolds of a flow rely on knowledge of the flow field. However, in experimental applications only knowledge of phase space trajectories is available. We provide modifications to several exis

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Duduchava, R., T. Buchukuri, O. Chkadua, and D. Natroshvili. "Interface Cracks Problems in Composites With Piezoelectric and Thermal Effects." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13352.

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We investigate three–dimensional interface crack problems (ICP) for metallic-piezoelectric composite bodies with regard to thermal effects. We give a mathematical formulation of the physical problem when the metallic and piezoelectric bodies are bonded along some proper parts of their boundaries where interface cracks occur. By potential methods the ICP is reduced to an equivalent strongly elliptic system of pseudodifferential equations (ψDEs) on overlapping manifolds with boundary, which have no analogues in mathematical literature. We study the solvability of obtained ψDEs on overlapping man

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Emara, Kareem, Ahmed Emara, and Elsayed Abdel Razek. "An Intake System Optimization of a Heavy Duty DI Diesel Engine Using CFD Analysis." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53612.

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As the intake system design is significant for the optimal performance of internal combustion engines, this work aims to optimize the geometry of an intake system in a direct injection (DI) diesel engine. The study concerns the geometry effects of three different intake manifolds mounted consecutively on a fully instrumented, six cylinders, in line, water cooled, 19.1 liters displacement, DI heavy duty diesel engine. A 3D numerical simulation of the turbulent flow through these manifolds is applied. The model is based on solving Navier-Stokes and energy equations in conjunction with the standa

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