Geodesic
Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 173-174

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the manifold of directions of physical space contains no three-dimensional totally geodesic submanifolds. 
@article{ZNSL_2001_280_a10,
     author = {D. V. Ivanov},
     title = {Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {173--174},
     publisher = {mathdoc},
     volume = {280},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a10/}
}
TY  - JOUR
AU  - D. V. Ivanov
TI  - Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2001
SP  - 173
EP  - 174
VL  - 280
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a10/
LA  - ru
ID  - ZNSL_2001_280_a10
ER  - 
%0 Journal Article
%A D. V. Ivanov
%T Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 173-174
%V 280
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a10/
%G ru
%F ZNSL_2001_280_a10
D. V. Ivanov. Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 173-174. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a10/