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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Jong Ryul Kim 1
@article{CRMATH_2013__351_11-12_471_0, author = {Jong Ryul Kim}, 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}, }
Jong Ryul Kim. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.06.005/
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