RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE
Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 1-10
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In this work we consider a complete spacelike submanifold $M^{n}$ immersed in the De Sitter space $S_{p}^{n+p}(1)$ with parallel mean curvature vector. We use a Simons type inequality to obtain some rigidity results characterizing umbilical submanifolds and hyperbolic cylinders in $S_p^{n+p}(1)$.
BRASIL, A.; CHAVES, ROSA M. B.; COLARES, A. G. RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE. Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 1-10. doi: 10.1017/S0017089505002818
@article{10_1017_S0017089505002818,
author = {BRASIL, A. and CHAVES, ROSA M. B. and COLARES, A. G.},
title = {RIGIDITY {RESULTS} {FOR} {SUBMANIFOLDS} {WITH} {PARALLEL} {MEAN} {CURVATURE} {VECTOR} {IN} {THE} {DE} {SITTER} {SPACE}},
journal = {Glasgow mathematical journal},
pages = {1--10},
year = {2006},
volume = {48},
number = {1},
doi = {10.1017/S0017089505002818},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002818/}
}
TY - JOUR AU - BRASIL, A. AU - CHAVES, ROSA M. B. AU - COLARES, A. G. TI - RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE JO - Glasgow mathematical journal PY - 2006 SP - 1 EP - 10 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002818/ DO - 10.1017/S0017089505002818 ID - 10_1017_S0017089505002818 ER -
%0 Journal Article %A BRASIL, A. %A CHAVES, ROSA M. B. %A COLARES, A. G. %T RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE %J Glasgow mathematical journal %D 2006 %P 1-10 %V 48 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002818/ %R 10.1017/S0017089505002818 %F 10_1017_S0017089505002818
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