For an extrinsic symmetric space M in Minkowski space-time, we prove that if M is spacelike with zero mean curvature, then it is totally geodesic and if M is timelike with zero mean curvature, then it is totally geodesic or it is a flat hypersurface.
Pour un espace symétrique extrinsèque M dans lʼespace-temps de Minkowski, nous prouvons que, si M est de type espace et à courbure moyenne nulle, alors M est totalement géodésique, tandis que, si M est de type temps à courbure moyenne nulle, il sʼagit alors dʼune sous-variété totalement géodésique ou dʼune hypersurface.
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@article{CRMATH_2013__351_11-12_471_0, author = {Kim, Jong Ryul}, title = {On extrinsic symmetric spaces with zero mean curvature in {Minkowski} space-time}, journal = {Comptes Rendus. Math\'ematique}, pages = {471--475}, publisher = {Elsevier}, volume = {351}, number = {11-12}, year = {2013}, doi = {10.1016/j.crma.2013.06.005}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.06.005/} }
TY - JOUR AU - Kim, Jong Ryul TI - On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time JO - Comptes Rendus. Mathématique PY - 2013 SP - 471 EP - 475 VL - 351 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.06.005/ DO - 10.1016/j.crma.2013.06.005 LA - en ID - CRMATH_2013__351_11-12_471_0 ER -
%0 Journal Article %A Kim, Jong Ryul %T On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time %J Comptes Rendus. Mathématique %D 2013 %P 471-475 %V 351 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2013.06.005/ %R 10.1016/j.crma.2013.06.005 %G en %F CRMATH_2013__351_11-12_471_0
Kim, Jong Ryul. On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time. Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 471-475. doi : 10.1016/j.crma.2013.06.005. http://archive.numdam.org/articles/10.1016/j.crma.2013.06.005/
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