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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 163–172 (Mi znsl1475)  
Classification of totally geodesic surfaces in the manifold of directions in physical space

D. V. Ivanov, S. E. Kozlov

Saint-Petersburg State University
Full-text PDF (169 kB)
Abstract: The Grassmannian of bevectors over the pseudo-Euclidean Mincowski space is considered and its two-dimensional totally geodesic submanifolds are classified. The family of such surfaces is described in the language of the affine geometry of three-space.
Received: 05.07.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 215–220
DOI: https://doi.org/10.1023/B:JOTH.0000008760.05934.65
Bibliographic databases:
UDC: 514.7+271.21.21.17
Language: Russian
Citation: D. V. Ivanov, S. E. Kozlov, “Classification of totally geodesic surfaces in the manifold of directions in physical space”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 163–172; J. Math. Sci. (N. Y.), 119:2 (2004), 215–220
Citation in format AMSBIB
\Bibitem{IvaKoz01}
\by D.~V.~Ivanov, S.~E.~Kozlov
\paper Classification of totally geodesic surfaces in the manifold of directions in physical space
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 163--172
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1475}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879262}
\zmath{https://zbmath.org/?q=an:1071.53538}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 215--220
\crossref{https://doi.org/10.1023/B:JOTH.0000008760.05934.65}
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