The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Jin Tang Li
Annales Polonici Mathematici, Tome 105 (2012), p. 153-160 / Harvested from The Polish Digital Mathematics Library
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Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space (Vn+1,F̅) 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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:280144 
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Jin Tang Li. The rigidity theorem for Landsberg hypersurfaces of a Minkowski space. Annales Polonici Mathematici, Tome 105 (2012) pp. 153-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-3/