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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 173–174 (Mi znsl1476)  
Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space

D. V. Ivanov

Saint-Petersburg State University
Full-text PDF (84 kB)
Abstract: It is proved that the manifold of directions of physical space contains no three-dimensional totally geodesic submanifolds.
Received: 29.10.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 221–222
DOI: https://doi.org/10.1023/B:JOTH.0000008761.43571.85
Bibliographic databases:
UDC: 514.76
Language: Russian
Citation: D. V. Ivanov, “Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 173–174; J. Math. Sci. (N. Y.), 119:2 (2004), 221–222
Citation in format AMSBIB
\Bibitem{Iva01}
\by D.~V.~Ivanov
\paper Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 173--174
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879263}
\zmath{https://zbmath.org/?q=an:1071.53537}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 221--222
\crossref{https://doi.org/10.1023/B:JOTH.0000008761.43571.85}
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