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Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces
uniqueness theorem convex polyhedral metrics compact surfaces
2010/11/19
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemanni...
Existence and uniqueness theorem for slant immersions in Kenmotsu space forms
Kenmotsu manifold slant immersion mean curvature sectional curvature
2010/2/25
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.