Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 146, Pages 103–112 (Mi into291)  
This article is cited in 1 scientific paper (total in 1 paper)

On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity

S. E. Stepanovab, I. E. Denezhkinaa, A. V. Ovchinnikovcb

a Financial University under the Government of the Russian Federation, Moscow
b All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences
c Lomonosov Moscow State University
Full-text PDF (218 kB) Citations (1)
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Abstract: In this paper, we discuss the global aspect of the geometric dynamics of volumetric expansion and its applications to the problem of the existence in the space-time of compact and complete spacelike hypersurfaces and to the global geometry of generalized Robertson–Walker space-times.
Keywords: volumetric expansion, vector field, flow, space-time, spacelike hypersurface.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00756-a
16-01-00053-a
This work was supported by the Russian Foundation for Basic Research (project \Nos. 16-01-00756-a and 16-01-00053-a).
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 5, Pages 659–668
DOI: https://doi.org/10.1007/s10958-020-04715-2
Bibliographic databases:
Document Type: Article
UDC: 514.82
MSC: 53C25, 53Z05
Language: Russian
Citation: S. E. Stepanov, I. E. Denezhkina, A. V. Ovchinnikov, “On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity”, Geometry, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 146, VINITI, Moscow, 2018, 103–112; Journal of Mathematical Sciences, 245:5 (2020), 659–668
Citation in format AMSBIB
\Bibitem{SteDenOvc18}
\by S.~E.~Stepanov, I.~E.~Denezhkina, A.~V.~Ovchinnikov
\paper On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity
\inbook Geometry
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 146
\pages 103--112
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into291}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3824401}
\zmath{https://zbmath.org/?q=an:1448.53073}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 5
\pages 659--668
\crossref{https://doi.org/10.1007/s10958-020-04715-2}
Linking options:
  • https://www.mathnet.ru/eng/into291
  • https://www.mathnet.ru/eng/into/v146/p103
    • This publication is cited in the following 1 articles:
    1. Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok, Springer Proceedings in Mathematics & Statistics, 440, Differential Geometric Structures and Applications, 2024, 167  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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