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Relevant bibliographies by topics / Metrics with conical singularities

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Academic literature on the topic 'Metrics with conical singularities'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Metrics with conical singularities"

1

Song, Jijian, Yiran Cheng, Bo Li, and Bin Xu. "Drawing Cone Spherical Metrics via Strebel Differentials." International Mathematics Research Notices 2020, no. 11 (2018): 3341–63. http://dx.doi.org/10.1093/imrn/rny103.

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Abstract Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a bridge, we construct a new class of cone spherical metrics on compact Riemann surfaces by drawing on the surfaces some class of connected metric ribbon graphs.

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Debin, Clément. "A COMPACTNESS THEOREM FOR SURFACES WITH BOUNDED INTEGRAL CURVATURE." Journal of the Institute of Mathematics of Jussieu 19, no. 2 (2018): 597–645. http://dx.doi.org/10.1017/s1474748018000154.

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We prove a compactness theorem for metrics with bounded integral curvature on a fixed closed surface $\unicode[STIX]{x1D6F4}$. As a corollary we obtain a new convergence result for sequences of metrics with conical singularities, where an accumulation of singularities is allowed.

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Bartolucci, Daniele, Francesca De Marchis, and Andrea Malchiodi. "Supercritical Conformal Metrics on Surfaces with Conical Singularities." International Mathematics Research Notices 2011, no. 24 (2011): 5625–43. http://dx.doi.org/10.1093/imrn/rnq285.

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Dey, Subhadip. "Spherical metrics with conical singularities on 2-spheres." Geometriae Dedicata 196, no. 1 (2017): 53–61. http://dx.doi.org/10.1007/s10711-017-0306-1.

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Sabourau, Stéphane, and Zeina Yassine. "A systolic-like extremal genus two surface." Journal of Topology and Analysis 11, no. 03 (2019): 721–38. http://dx.doi.org/10.1142/s1793525319500298.

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It is known that the genus two surface admits a piecewise flat metric with conical singularities which is extremal for the systolic inequality among all nonpositively curved metrics. We prove that this piecewise flat metric is also critical for slow metric variations, without curvature restrictions, for another type of systolic inequality involving the lengths of the shortest noncontractible loops in different free homotopy classes.

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Birbrair, Lev, and Jean-Paul Brasselet. "Metric homology for isolated conical singularities." Bulletin des Sciences Mathématiques 126, no. 2 (2002): 87–95. http://dx.doi.org/10.1016/s0007-4497(01)01085-5.

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Fillastre, François. "Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces." Annales de l’institut Fourier 57, no. 1 (2007): 163–95. http://dx.doi.org/10.5802/aif.2255.

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Mondello, Gabriele, and Dmitri Panov. "Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints." International Mathematics Research Notices 2016, no. 16 (2015): 4937–95. http://dx.doi.org/10.1093/imrn/rnv300.

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FOX, DANIEL J. F. "RICCI FLOWS ON SURFACES RELATED TO THE EINSTEIN WEYL AND ABELIAN VORTEX EQUATIONS." Glasgow Mathematical Journal 56, no. 3 (2014): 569–99. http://dx.doi.org/10.1017/s0017089514000044.

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AbstractThere are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D. Calderbank) and a real version of a special case of the Abelian vortex equations, and it is shown that the property that a metric solve these equations is preserved by the Ricci flow. The equations are solved explicitly, and among the metrics obtained are all steady gradient Ricci solitons (e.g. the cigar soliton) and the sausage metric; there are found other examples of eternal, ancient, and immortal Ricc

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Lin, Chang Shou, and Xiaohua Zhu. "Explicit construction of extremal Hermitian metrics with finite conical singularities on $S^2$." Communications in Analysis and Geometry 10, no. 1 (2002): 177–216. http://dx.doi.org/10.4310/cag.2002.v10.n1.a8.

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Dissertations / Theses on the topic "Metrics with conical singularities"

1

de, Borbon Gonzalo Martin. "Asymptotically conical Ricci-flat Kahler metrics with cone singularities." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/31373.

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The main result proved in this thesis is an existence theorem for asymptotically conical Ricci-flat Kahler metrics on C2 with cone singularities along a smooth complex curve. These metrics are expected to arise as blow-up limits of non-collapsed sequences of Kahler-Einstein metrics with cone singularities.

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Briginshaw, James Andrew. "Conical singularities with torsion." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.625050.

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Ma, L., and Bert-Wolfgang Schulze. "Operators on manifolds with conical singularities." Universität Potsdam, 2009. http://opus.kobv.de/ubp/volltexte/2009/3660/.

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We construct elliptic elements in the algebra of (classical pseudo-differential) operators on a manifold M with conical singularities. The ellipticity of any such operator A refers to a pair of principal symbols (σ0, σ1) where σ0 is the standard (degenerate) homogeneous principal symbol, and σ1 is the so-called conormal symbol, depending on the complex Mellin covariable z. The conormal symbol, responsible for the conical singularity, is operator-valued and acts in Sobolev spaces on the base X of the cone. The σ1-ellipticity is a bijectivity condition for all z of real part (n + 1)/2 − γ, n = d

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Schulze, Bert-Wolfgang, and Nikolai Tarkhanov. "The Riemann-Roch theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2505/.

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Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "Quantization of symplectic transformations on manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2508/.

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The structure of symplectic (canonical) transformations on manifolds with conical singularities is established. The operators associated with these transformations are defined in the weight spaces and their properties investigated.

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Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "A Lefschetz fixed point theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2507/.

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Schulze, Bert-Wolfgang, Boris Sternin, and Victor Shatalov. "On the index of differential operators on manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2496/.

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The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah-Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point.

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Schulze, Bert-Wolfgang, Vladimir Nazaikinskii, and Boris Sternin. "The index of quantized contact transformations on manifolds with conical singularities." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2527/.

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The quantization of contact transformations of the cosphere bundle over a manifold with conical singularities is described. The index of Fredholm operators given by this quantization is calculated. The answer is given in terms of the Epstein-Melrose contact degree and the conormal symbol of the corresponding operator.

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Coriasco, Sandro, Elmar Schrohe, and Jörg Seiler. "Bounded imaginary powers of differential operators on manifolds with conical singularities." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2596/.

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We study the minimal and maximal closed extension of a differential operator A on a manifold B with conical singularities, when A acts as an unbounded operator on weighted Lp-spaces over B,1 < p < ∞. Under suitable ellipticity assumptions we can define a family of complex powers A up(z), z ∈ C. We also obtain sufficient information on the resolvent of A to show the boundedness of the pure imaginary powers. Examples concern unique solvability and maximal regularity of the solution of the Cauchy problem u' - Δu = f, u(0) = 0, for the Laplacian on conical manifolds.

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Chan, Yat-Ming. "Calabi-Yau and special Lagrangian 3-folds with conical singularities and their desingularizations." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427892.

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Books on the topic "Metrics with conical singularities"

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Albeverio, Sergio, Michael Demuth, Elmar Schrohe, and Bert-Wolfgang Schulze, eds. Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3.

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Liess, Otto. Conical refraction and higher microlocalization. Springer-Verlag, 1993.

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Schulze, Bert-Wolfgang. Pseudo-differential boundary value problems, conical singularities, and asymptotics. Akademie Verlag, 1994.

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Lesch, Matthias. Operators of Fuchs type, conical singularities, and asymptotic methods. Teubner, 1997.

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Parabolicity, Volterra Calculus, and Conical Singularities. Birkhauser, 2002.

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Sergio, Albeverio, ed. Parabolicity, Volterra calculus, and conical singularities. Birkhäuser Verlag, 2002.

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Albeverio, Sergio. Parabolicity, Volterra Calculus, and Conical Singularities. Springer, 2012.

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Parabolicity, Volterra Calculus, and Conical Singularities: A Volume of Advances in Partial Differential Equations (Operator Theory: Advances and Applications ... Advances in Partial Differential Equations). Birkhauser, 2003.

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Book chapters on the topic "Metrics with conical singularities"

1

Troyanov, Marc. "Metrics of constant curvature on a sphere with two conical singularities." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086431.

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Malchiodi, Andrea. "Uniformizing Surfaces with Conical Singularities." In Trends in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21284-5_8.

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Kapanadze, David, and B. Wolfgang Schulze. "Operators on manifolds with conical singularities." In Crack Theory and Edge Singularities. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0323-9_2.

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Egorov, Yuri V., and Bert-Wolfgang Schulze. "Pseudo-differential operators on manifolds with conical singularities." In Pseudo-Differential Operators, Singularities, Applications. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8900-1_8.

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Krainer, Thomas. "Volterra Families of Pseudodifferential Operators." In Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3_1.

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Krainer, Thomas. "The Calculus of Volterra Mellin Pseudodifferential Operators with Operator-valued Symbols." In Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3_2.

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Krainer, Thomas, and Bert-Wolfgang Schulze. "On the Inverse of Parabolic Systems of Partial Differential Equations of General Form in an Infinite Space-Time Cylinder." In Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3_3.

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Witt, Ingo. "On the Factorization of Meromorphic Mellin Symbols." In Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3_4.

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Kapanadze, D., B. W. Schulze, and I. Witt. "Coordinate Invariance of the Cone Algebra with Asymptotics." In Parabolicity, Volterra Calculus, and Conical Singularities. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8191-3_5.

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Atiyah, Michael. "The Hirzebruch Signature Theorem for Conical Metrics." In Arbeitstagung Bonn 2013. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43648-7_1.

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Conference papers on the topic "Metrics with conical singularities"

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BOTVINNIK, BORIS, and SERGE PRESTON. "CONFORMAL LAPLACIAN AND CONICAL SINGULARITIES." In Proceedings of the School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704443_0002.

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Song, Daohong, Sheng Liu, Vassilis Paltoglou, et al. "Asymmetric conical diffraction and generation of non-integer phase singularities in photonic graphene." In CLEO: QELS_Fundamental Science. OSA, 2015. http://dx.doi.org/10.1364/cleo_qels.2015.fth3d.6.

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Pavlova, Natalia Gennadievna, and Alexey Olegovich Remizov. "Singularities of geodesic flows in variable-signature metrics: 2D and 3D." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23026.

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Borsch, Vladimir. "Asymptotic Laws for Conical Flow Singularities on the Wind-Side of Wedge-Derived Waveriders." In 34th AIAA Fluid Dynamics Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-2711.

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Fedorin, Illia. "External Magnetic Field Induced Conical Singularities in the Isofrequency Surface of a Ferrite-semiconductor Metamaterial." In 2019 IEEE 9th International Conference Nanomaterials: Applications & Properties (NAP). IEEE, 2019. http://dx.doi.org/10.1109/nap47236.2019.216932.

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Shalaev, V. I. "Singularities of 3D laminar boundary layer equations and flow structure in their vicinity on conical bodies." In INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2016): Proceedings of the 18th International Conference on the Methods of Aerophysical Research. Author(s), 2016. http://dx.doi.org/10.1063/1.4963997.

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Xu, Mengdi, and Gregory S. Chirikjian. "Recovering a Rotation Matrix From Three Direction Cosines." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85825.

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In this paper, we propose a new parameterization method to represent rotation matrices using the angles ϕ→ recovered from the three direction cosines that lie on the diagonal. The map from the possible configuration space of the new variable ϕ→ to the solid ball model in axis-angle coordinates is constructed. We also introduce a bi-invariant metric and two left-invariant metrics for measuring the distance in configuration space which could be the foundation for path planning in ϕ→ space. We further analyze the Jacobian matrix and singularities to better understand the manipulability.

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Giorelli, Michele, Federico Renda, Gabriele Ferri, and Cecilia Laschi. "A Feed Forward Neural Network for Solving the Inverse Kinetics of Non-Constant Curvature Soft Manipulators Driven by Cables." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3740.

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The solution of the inverse kinetics problem of soft manipulators is essential to generate paths in the task space to perform grasping operations. To address this issue, researchers have proposed different iterative methods based on Jacobian matrix. However, although these methods guarantee a good degree of accuracy, they suffer from singularities, long-term convergence, parametric uncertainties and high computational cost. To overcome intrinsic problems of iterative algorithms, we propose here a neural network learning of the inverse kinetics of a soft manipulator. To our best knowledge, this

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Littlewood, David J. "A Nonlocal Approach to Modeling Crack Nucleation in AA 7075-T651." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64236.

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A critical stage in microstructurally small fatigue crack growth in AA 7075-T651 is the nucleation of cracks originating in constituent particles into the matrix material. Previous work has focused on a geometric approach to modeling microstructurally small fatigue crack growth in which damage metrics derived from an elastic-viscoplastic constitutive model are used to predict the nucleation event [1, 2]. While a geometric approach based on classical finite elements was successful in explicitly modeling the polycrystalline grain structure, singularities at the crack tip necessitated the use of

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Wells, Beric E., Judith Ann Bamberger, Kurt P. Recknagle, Carl W. Enderlin, Michael J. Minette, and Langdon K. Holton. "Applying Hanford Tank Mixing Data to Define Pulse Jet Mixer Operation." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-50712.

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Pulse jet mixed (PJM) process vessels are being developed for storing, blending, and chemical processing of nuclear waste slurries at the Waste Treatment and Immobilization Plant (WTP) to be built at Hanford, Washington. These waste slurries exhibit variable process feed characteristics including Newtonian to non-Newtonian rheologies over a range of solids loadings. Waste feed to the WTP from the Hanford Tank Farms will be accomplished via the Waste Feed Delivery (WFD) system which includes million-gallon underground storage double-shell tanks (DSTs) with dual-opposed jet mixer pumps. Experien

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