no. 11-12
Differential Geometry
On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time
[Sur les espaces symétriques extrinsèques à courbure moyenne nulle dans lʼespace-temps de Minkowski]

Présenté par : the Editorial Board

Kim, Jong Ryul1
1 Department of Mathematics, Kunsan National University, Kunsan, 573-701, Republic of Korea
Comptes Rendus. Mathématique, Tome 351 (2013) no. 11-12, pp. 471-475.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.06.005
Kim, Jong Ryul 1

1 Department of Mathematics, Kunsan National University, Kunsan, 573-701, Republic of Korea 
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Kim, Jong Ryul. On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time. Comptes Rendus. Mathématique, Tome 351 (2013) no. 11-12, pp. 471-475. doi : 10.1016/j.crma.2013.06.005. http://www.numdam.org/articles/10.1016/j.crma.2013.06.005/

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