Comptes Rendus
no. 11-12
Differential Geometry
On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time
Presented by: the Editorial Board
Jong Ryul Kim1
1 Department of Mathematics, Kunsan National University, Kunsan, 573-701, Republic of Korea
Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 471-475

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.06.005

Jong Ryul Kim 1

1 Department of Mathematics, Kunsan National University, Kunsan, 573-701, Republic of Korea 
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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

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