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Generalized Ricci flow I: Local existence and uniqueness
Generalized Ricci flow uniformly parabolic system short-time existence Thurston’s eight geometries
2011/9/13
Abstract: In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that...
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.
