Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 163-172
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D. V. Ivanov; S. E. Kozlov. Classification of totally geodesic surfaces in the manifold of directions in physical space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 163-172. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/
@article{ZNSL_2001_280_a9,
author = {D. V. Ivanov and S. E. Kozlov},
title = {Classification of totally geodesic surfaces in the manifold of directions in physical space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {163--172},
year = {2001},
volume = {280},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/}
}
TY - JOUR
AU - D. V. Ivanov
AU - S. E. Kozlov
TI - Classification of totally geodesic surfaces in the manifold of directions in physical space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 163
EP - 172
VL - 280
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/
LA - ru
ID - ZNSL_2001_280_a9
ER -
%0 Journal Article
%A D. V. Ivanov
%A S. E. Kozlov
%T Classification of totally geodesic surfaces in the manifold of directions in physical space
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 163-172
%V 280
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/
%G ru
%F ZNSL_2001_280_a9
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.
