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arxiv: 0709.3796 · v5 · pith:RVS4SIQCnew · submitted 2007-09-24 · 🧮 math.DG

Global Structure of Locally Convex Hypersurfaces in Finsler-Hadamard Manifolds

classification 🧮 math.DG
keywords convexhypersurfacesfinsler-hadamardlocallymanifoldsbodyboundarybounded
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Locally convex compact immersed hypersurfaces in Finsler-Hadamard manifolds with bounded T-curvature are considered. We prove that such hypersurfaces are embedded as the boundary of convex body under certain conditions on the normal curvatures

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