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On Space-like Hypersurfaces in a Space-time

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

In the present paper we study the global geometry of convex, totally umbilical and maximal space-like hypersurfaces in space-times and, in particular, in de Sitter space-times.

Mathematics Subject Classification (2010). Primary 53C50; Secondary 83C75.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Finance University under the Government of Russian Federation, Moscow, Russia

    Sergey Stepanov

  2. Department Algebra and Geometry, Palacky University, 17. listopadu 27, CZ-77146, Olomouc, Czech Republic

    Josef Mikeš

Authors
  1. Sergey Stepanov
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  2. Josef Mikeš
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Corresponding author

Correspondence to Sergey Stepanov .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Department of Mathematics - MC J415, Brock University, St. Catharines, Ontario, Canada

    Alexander Odesskii

  4. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  5. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  6. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

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Stepanov, S., Mikeš, J. (2013). On Space-like Hypersurfaces in a Space-time. In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_21

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