Curvature flows and CMC hypersurfaces
Claus Gerhardt
TL;DR
This paper reviews how curvature flows are used to establish existence and regularity of constant mean curvature hypersurfaces, highlighting their applications in geometry and physics.
Contribution
It provides an overview of the latest results on curvature flows and their role in solving geometric and physical problems.
Findings
Existence results for curvature flows
Regularity results for hypersurfaces
Applications in geometry and physics
Abstract
We give an overview of the existence and regularity results for curvature flows and how these flows can be used to solve some problems in geometry and physics.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Black Holes and Theoretical Physics · Geometry and complex manifolds