Displaying similar documents to “How to produce a Ricci flow via Cheeger–Gromoll exhaustion”

Curvature cones and the Ricci flow.

Thomas Richard (2012-2014)

Séminaire de théorie spectrale et géométrie

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This survey reviews some facts about nonnegativity conditions on the curvature tensor of a Riemannian manifold which are preserved by the action of the Ricci flow. The text focuses on two main points. First we describe the known examples of preserved curvature conditions and how they have been used to derive geometric results, in particular sphere theorems. We then describe some recent results which give restrictions on general preserved conditions. ...

A survey on Inverse mean curvature flow in ROSSes

Giuseppe Pipoli (2017)

Complex Manifolds

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In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influences the behaviour of the evolution. Moreover we try, when possible, to give an unified approach to the results present in literature.

Some evolution equations under the List's flow and their applications

Bingqing Ma (2014)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we consider some evolution equations of generalized Ricci curvature and generalized scalar curvature under the List’s flow. As applications, we obtain L 2 -estimates for generalized scalar curvature and the first variational formulae for non-negative eigenvalues with respect to the Laplacian.

Complete gradient Ricci solitons

Udo Simon (2015)

Colloquium Mathematicae

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For complete gradient Ricci solitons we state necessary conditions for a non-trivial soliton structure in terms of intrinsic curvature invariants.