Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 193-198
Citer cet article
D. D. Sokolov. Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space. Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 193-198. http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a9/
@article{MZM_1971_9_2_a9,
author = {D. D. Sokolov},
title = {Imbedding of {pseudo-Riemannian} manifolds in a pseudo-euclidean space},
journal = {Matemati\v{c}eskie zametki},
pages = {193--198},
year = {1971},
volume = {9},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a9/}
}
TY - JOUR
AU - D. D. Sokolov
TI - Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space
JO - Matematičeskie zametki
PY - 1971
SP - 193
EP - 198
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a9/
LA - ru
ID - MZM_1971_9_2_a9
ER -
%0 Journal Article
%A D. D. Sokolov
%T Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space
%J Matematičeskie zametki
%D 1971
%P 193-198
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a9/
%G ru
%F MZM_1971_9_2_a9
It is proved that every pseudo-Riemannian manifold $M^n_{(p,q)}$ with the $C^k$ metric ($3\leqslant k\leqslant\infty$) has an isometric $C^k$ imbedding in the large in $E_{(p',q')}^{n(n+1)(3n+11)/2}$, $p'\geqslant(n+1)^2$, $q'\geqslant(n+1)^2$.
