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Relevant bibliographies by topics / Geometry of null manifolds

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Academic literature on the topic 'Geometry of null manifolds'

Author: Grafiati

Published: 23 November 2024

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Journal articles on the topic "Geometry of null manifolds"

1

Atindogbé, C., M. Gutiérrez, and R. Hounnonkpe. "Compact null hypersurfaces in Lorentzian manifolds." Advances in Geometry 21, no. 2 (2021): 251–63. http://dx.doi.org/10.1515/advgeom-2021-0001.

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Abstract We show how the topological and geometric properties of the family of null hypersurfaces in a Lorentzian manifold are related with the properties of the ambient manifold itself. In particular, we focus in how the presence of global symmetries and curvature conditions restrict the existence of compact null hypersurfaces. We use these results to show the influence on the existence of compact totally umbilic null hypersurfaceswhich are not totally geodesic. Finally we describe the restrictions that they impose in causality theory.

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Massamba, Fortuné. "Symmetries of Null Geometry in Indefinite Kenmotsu Manifolds." Mediterranean Journal of Mathematics 10, no. 2 (2012): 1079–99. http://dx.doi.org/10.1007/s00009-012-0205-5.

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Hoffman, Neil R., and Nathan S. Sunukjian. "Null-homologous exotic surfaces in 4–manifolds." Algebraic & Geometric Topology 20, no. 5 (2020): 2677–85. http://dx.doi.org/10.2140/agt.2020.20.2677.

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Cuadros Valle, Jaime. "Null Sasaki $$\eta $$ -Einstein structures in 5-manifolds." Geometriae Dedicata 169, no. 1 (2013): 343–59. http://dx.doi.org/10.1007/s10711-013-9859-9.

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Akamine, Shintaro, Atsufumi Honda, Masaaki Umehara, and Kotaro Yamada. "Null hypersurfaces in Lorentzian manifolds with the null energy condition." Journal of Geometry and Physics 155 (September 2020): 103751. http://dx.doi.org/10.1016/j.geomphys.2020.103751.

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Rovenski, Vladimir, Sergey Stepanov, and Josef Mikeš. "A Note on the Geometry of Certain Classes of Lichnerowicz Laplacians and Their Applications." Mathematics 11, no. 21 (2023): 4434. http://dx.doi.org/10.3390/math11214434.

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In the present paper, we prove vanishing theorems for the null space of the Lichnerowicz Laplacian acting on symmetric two tensors on complete and closed Riemannian manifolds and further estimate its lowest eigenvalue on closed Riemannian manifolds. In addition, we give an application of the obtained results to the theory of infinitesimal Einstein deformations.

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Massamba, Fortuné, and Samuel Ssekajja. "Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds." International Journal of Mathematics and Mathematical Sciences 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/9613182.

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Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds. We finally discuss the geometric effects of geodesity conditions on such submanifolds.

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Massamba, Fortuné, and Samuel Ssekajja. "A geometric flow on null hypersurfaces of Lorentzian manifolds." Topological Algebra and its Applications 10, no. 1 (2022): 185–95. http://dx.doi.org/10.1515/taa-2022-0126.

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Abstract We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing conditions for the existence of constant mean curvature (CMC) null hypersurfaces, and leaves of constant scalar curvatures.

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Duggal, K. L. "A Review on Unique Existence Theorems in Lightlike Geometry." Geometry 2014 (July 7, 2014): 1–17. http://dx.doi.org/10.1155/2014/835394.

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This is a review paper of up-to-date research done on the existence of unique null curves, screen distributions, Levi-Civita connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi-Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography. We also propose some open problems.

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Kim, Jin Hong. "On null cobordism classes of quasitoric manifolds and their small covers." Topology and its Applications 285 (November 2020): 107412. http://dx.doi.org/10.1016/j.topol.2020.107412.

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Dissertations / Theses on the topic "Geometry of null manifolds"

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Vilatte, Matthieu. "Adventures in (thermal) Wonderland." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. https://theses.hal.science/tel-04791687.

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Le travail que nous présentons dans cette thèse est structuré autour de la notion de théorie des champs et de géométrie, qui sont appliquées à la gravité et la thermalisation.En gravité, notre travail donne un éclairage nouveau sur la structure asymptotique du champ gravitationnel dans le contexte des espace-temps asymptotiquement plats, ceci en utilisant l'information codée sur leur bord conforme. Ce dernier est une hypersurface de genre lumière sur laquelle émerge la physique carrollienne au lieu de la physique relativiste. Une structure carrollienne sur une variété est constituée une métriq

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Iakovidis, Nikolaos. "Geometry of Toric Manifolds." Thesis, Uppsala universitet, Teoretisk fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-277709.

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This project is an overview of Hamiltonian geometry on Kahler manifolds and of Kähler reduction. In the first section we define complex manifolds, give their basic properties and build some structures on them. We are mainly interested in Kähler manifolds which are a subset of symplectic manifolds. In the second section we discuss group actions on manifolds. We are only concerned with Hamiltonian actions for which we can compute their moment maps. From these we prove how to construct new manifolds using a process called Kähler reduction. Finally we define toric manifolds and review Delzant poly

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Buttler, Michael. "The geometry of CR manifolds." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312247.

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Welly, Adam. "The Geometry of quasi-Sasaki Manifolds." Thesis, University of Oregon, 2016. http://hdl.handle.net/1794/20466.

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Let (M,g) be a quasi-Sasaki manifold with Reeb vector field xi. Our goal is to understand the structure of M when g is an Einstein metric. Assuming that the S^1 action induced by xi is locally free or assuming a certain non-negativity condition on the transverse curvature, we prove some rigidity results on the structure of (M,g). Naturally associated to a quasi-Sasaki metric g is a transverse Kahler metric g^T. The transverse Kahler-Ricci flow of g^T is the normalized Ricci flow of the transverse metric. Exploiting the transverse Kahler geometry of (M,g), we can extend results in Kahler-Ri

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Clancy, Robert. "Spin(7)-manifolds and calibrated geometry." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:c37748b3-674a-4d95-8abf-7499474abce3.

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In this thesis we study Spin(7)-manifolds, that is Riemannian 8-manifolds with torsion-free Spin(7)-structures, and Cayley submanifolds of such manifolds. We use a construction of compact Spin(7)-manifolds from Calabi–Yau 4-orbifolds with antiholomorphic involutions, due to Joyce, to find new examples of compact Spin(7)-manifolds. We search the class of well-formed quasismooth hypersurfaces in weighted projective spaces for suitable Calabi–Yau 4-orbifolds. We consider antiholomorphic involutions induced by the restriction of an involution of the ambient weighted projective space and we classif

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Pena, Moises. "Geodesics on Generalized Plane Wave Manifolds." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/866.

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A manifold is a Hausdorff topological space that is locally Euclidean. We will define the difference between a Riemannian manifold and a pseudo-Riemannian manifold. We will explore how geodesics behave on pseudo-Riemannian manifolds and what it means for manifolds to be geodesically complete. The Hopf-Rinow theorem states that,“Riemannian manifolds are geodesically complete if and only if it is complete as a metric space,” [Lee97] however, in pseudo-Riemannian geometry, there is no analogous theorem since in general a pseudo-Riemannian metric does not induce a metric space structure on the man

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Tievsky, Aaron M. "Analogues of Kähler geometry on Sasakian manifolds." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/45349.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2008.<br>Includes bibliographical references (p. 53-54).<br>A Sasakian manifold S is equipped with a unit-length, Killing vector field ( which generates a one-dimensional foliation with a transverse Kihler structure. A differential form a on S is called basic with respect to the foliation if it satisfies [iota][epsilon][alpha] = [iota][epsilon]d[alpha] = 0. If a compact Sasakian manifold S is regular, i.e. a circle bundle over a compact Kähler manifold, the results of Hodge theory in the Kahler case apply to basic fo

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Kotschick, Dieter. "On the geometry of certain 4 - manifolds." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236179.

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Viaggi, Gabriele [Verfasser]. "Geometry of random 3-manifolds / Gabriele Viaggi." Bonn : Universitäts- und Landesbibliothek Bonn, 2020. http://d-nb.info/1208764896/34.

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Baier, P. D. "Special Lagrangian geometry." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365884.

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Books on the topic "Geometry of null manifolds"

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1940-, Shiohama K., Japan Monbushō, and Symposium on Differential Geometry (1988- ) (35th : 1988 : Shinshu University), eds. Geometry of manifolds. Academic Press, 1989.

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Crittenden, Richard J., d. 1996., ed. Geometry of manifolds. American Mathematical Society, 2001.

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Boyer, Charles P. Sasakian geometry. Oxford University Press, 2007.

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Lovett, Stephen. Differential geometry of manifolds. A.K. Peters, 2010.

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Kock, Anders. Synthetic Geometry of Manifolds. Cambridge University Press, 2009.

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Lovett, Stephen. Differential geometry of manifolds. A.K. Peters, 2010.

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Earle, Clifford J., William J. Harvey, and Sevín Recillas-Pishmish, eds. Complex Manifolds and Hyperbolic Geometry. American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/311.

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Brozos-Vázquez, Miguel, Eduardo García-Río, Peter Gilkey, Stana Nikčević, and Ramón Vázques-Lorenzo. The Geometry of Walker Manifolds. Springer International Publishing, 2009. http://dx.doi.org/10.1007/978-3-031-02397-2.

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Sunada, Toshikazu, ed. Geometry and Analysis on Manifolds. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0083042.

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Matić, Gordana, and Clint McCrory, eds. Topology and Geometry of Manifolds. American Mathematical Society, 2003. http://dx.doi.org/10.1090/pspum/071.

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Book chapters on the topic "Geometry of null manifolds"

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Duggal, Krishan L., and Aurel Bejancu. "Geometry of Null Curves in Lorentz Manifolds." In Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2089-2_3.

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Olea, Benjamín. "Null Hypersurfaces on Lorentzian Manifolds and Rigging Techniques." In Lorentzian Geometry and Related Topics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66290-9_13.

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Carmo, Manfredo Perdigão do. "Differentiable Manifolds." In Riemannian Geometry. Birkhäuser Boston, 2013. http://dx.doi.org/10.1007/978-1-4757-2201-7_1.

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Conlon, Lawrence. "Riemannian Geometry." In Differentiable Manifolds. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-2284-0_10.

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Lang, Serge. "Manifolds." In Fundamentals of Differential Geometry. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0541-8_2.

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Livingston, Charles. "Null-homologous unknottings." In Topology and Geometry. European Mathematical Society Publishing House, 2021. http://dx.doi.org/10.4171/irma/33-1/3.

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Ballmann, Werner. "Manifolds." In Introduction to Geometry and Topology. Springer Basel, 2018. http://dx.doi.org/10.1007/978-3-0348-0983-2_2.

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Eschrig, Helmut. "Manifolds." In Topology and Geometry for Physics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14700-5_3.

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Dragomir, Sorin, and Liviu Ornea. "L.c.K. Manifolds." In Locally Conformal Kähler Geometry. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-2026-8_1.

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Shafarevich, Igor R. "Complex Manifolds." In Basic Algebraic Geometry 2. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57956-1_4.

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Conference papers on the topic "Geometry of null manifolds"

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ROMERO, ANTONIO, ROCIO VELÁZQUEZ-MATA, ANTONIO TADEU, and PEDRO GALVÍN. "ACOUSTIC WAVE SCATTERING BY NULL-THICKNESS BODIES WITH COMPLEX GEOMETRY." In BEM/MRM 47. WIT Press, 2024. http://dx.doi.org/10.2495/be470111.

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NAKOVA, Galia. "NULL CURVES ON THE UNIT TANGENT BUNDLE OF A TWO-DIMENSIONAL KÄHLER-NORDEN MANIFOLD." In 5th International Colloquium on Differential Geometry and its Related Fields. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813220911_0008.

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Masa, Xosé, Enrique Macias-Virgós, and Jesús A. Alvarez López. "Analysis and Geometry in Foliated Manifolds." In 7th International Collóquium on Differential Geometry. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814533119.

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PESTOV, IVANGOE B. "GEOMETRY OF MANIFOLDS AND DARK MATTER." In Proceedings of the 5th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810144_0016.

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ARSLAN, KADRI, and CENGIZHAN MURATHAN. "CONTACT METRIC R-HARMONIC MANIFOLDS." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0002.

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Defever, Filip, Ryszard Deszcz, Marian Hotloś, Marek Kucharski, and Zerrin Şentürk. "ON MANIFOLDS OF PSEUDOSYMMETRIC TYPE." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0010.

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Boyom, Michel Nguiffo. "Some lagrangian invariants of symplectic manifolds." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-27.

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Sadowski, Michał. "Holonomy groups of complete flat manifolds." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-28.

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Bordoni, Manlio, Carlos Herdeiro, and Roger Picken. "Construction of Isospectral Manifolds." In XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2011. http://dx.doi.org/10.1063/1.3599144.

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Libermann, Paulette. "Charles Ehresmann's concepts in differential geometry." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-2.

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Reports on the topic "Geometry of null manifolds"

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Naber, Gregory. Invariants of Smooth Four-manifolds: Topology, Geometry, Physics. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-105-140.

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Beurlot, Kyle, Mark Patterson, and Timothy Jacobs. PR-457-22210-R01 Effects of Inlet Port Geometry on MCC Mixing Sensitivity Study. Pipeline Research Council International, Inc. (PRCI), 2024. http://dx.doi.org/10.55274/r0000061.

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Lean burning large bore natural gas two-stroke engines have remained critical components of the North American natural gas pipeline ecosystem for decades and will continue to persist as vital means of natural gas transportation well into the coming years. As increasing lean ignition limits are explored, Pre-Combustion Chambers (PCCs) serve as pathway to increased stability and repeatability of combustion as well as substantial engine emissions reduction. This study aims to further research the interaction between PCCs and the main combustion chamber (MCC) by investigating the sensitivity of in

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