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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 175–185 (Mi znsl1477)  
This article is cited in 1 scientific paper (total in 1 paper)

Stationarity of curvature of two-dimensional totally geodesic submanifolds in the Grassmannian of bevectors

S. E. Kozlov

Saint-Petersburg State University
Full-text PDF (190 kB) Citations (1)
Abstract: An infinitesimal criterion indicating when a two-dimensional submanifold of a Riemannian symmetric space is totally geodesic is given. As an application, the classification of two-dimensional totally geodesic submanifolds of the Grassmannian of bevectors is given in a new way, and it is proved that the section al curvature takes stationary values on tangent spaces of such submanifolds.
Received: 15.06.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 223–229
DOI: https://doi.org/10.1023/B:JOTH.0000008762.36153.5d
Bibliographic databases:
UDC: 514.745.2
Language: Russian
Citation: S. E. Kozlov, “Stationarity of curvature of two-dimensional totally geodesic submanifolds in the Grassmannian of bevectors”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 175–185; J. Math. Sci. (N. Y.), 119:2 (2004), 223–229
Citation in format AMSBIB
\Bibitem{Koz01}
\by S.~E.~Kozlov
\paper Stationarity of curvature of two-dimensional totally geodesic submanifolds in the Grassmannian of bevectors
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 175--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879264}
\zmath{https://zbmath.org/?q=an:1071.53532}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 223--229
\crossref{https://doi.org/10.1023/B:JOTH.0000008762.36153.5d}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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