Global Structure of Locally Convex Hypersurfaces in Finsler-Hadamard Manifolds

Details Global Structure of Locally Convex Hypersurfaces in Finsler-Hadamard Manifolds Global Structure of Locally Convex Hypersurfaces in Finsler-Hadamard Manifolds

2007-09-24

arxiv.org/abs/0709.3796v5

Mathematical Notes, 2010, Vol 87, N2, pp. 145-154

Mathematics

Differential Geometry

14 pages

Scientific paper

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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