Monotone quantities involving a weighted $\sigma_k$ integral along inverse curvature flows
, 2014We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces. We also derive a related geometric inequality for closed hypersurfaces with positive k-th mean curvature.
Kwok-Kun Kwong, P. Miao
semanticscholar +1 more source
A Relation between Mean Curvature Flow Solitons and Minimal Submanifolds
Mathematische Nachrichten, 2001Summary: We derive a one to one correspondence between conformal solitons of the mean curvature flow in an ambient space \(N\) and minimal submanifolds in a different ambient space \(\widetilde{N}\) where \(\widetilde{N}\) equals \(\mathbb{R}\times N\) equipped with a warped product metric and show that a submanifold in \(N\) converges to a conformal ...
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Self-shrinkers and Translating Solitons Related to the Anisotropic Mean Curvature Flow
Potential AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Velásquez, Marco A. L. +2 more
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Geometrical interpretations of continuous and complex-lamellar steady flows
, 2017Three dimensional incompressible steady flows were investigated from a kinematical perspective. It is shown that their geometry, as defined by their streamline curvature, is directly related to the C u r l of the associated unit tangent vector t .
Ioannis Dimitriou
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Conformal curvature flows on compact manifold of negative Yamabe constant
, 2018Xuezhang Chen, P. Ho
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Riemannian Mean Curvature Flow
International Symposium on Visual Computing, 2005Raúl San José Estépar +2 more
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Mean curvature type flows of graphs with nonzero Neumann boundary data in product manifold M n × R
Journal of Mathematical Analysis and Applications, 2022Jing Mao
exaly
Algorithms for Computing Motion by Mean Curvature
, 1996N. Walkington
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