Geodesic
The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Jin Tang Li1
1 School of Mathematical Sciences Xiamen University 361005 Xiamen, Fujian, China
Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 153-160

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $M^n$ be a compact Landsberg hypersurface of a Minkowski space $(V^{n+1}, \overline {F})$ with constant mean curvature $H$. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if $M$ is convex, then $M$ is Riemannian with constant curvature.
DOI : 10.4064/ap104-2-3
Keywords: compact landsberg hypersurface minkowski space overline constant mean curvature using gauss formula chern connection finsler submanifolds prove convex riemannian constant curvature

Jin Tang Li 1

1 School of Mathematical Sciences Xiamen University 361005 Xiamen, Fujian, China 
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Jin Tang Li. The rigidity theorem for Landsberg hypersurfaces
 of a Minkowski space. Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 153-160. doi: 10.4064/ap104-2-3

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