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The rigidity theorem for Landsberg hypersurfaces of a Minkowski space

Jin Tang Li — 2012

Annales Polonici Mathematici

Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space $(V^{n + 1}, F ̅)$ 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.

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