As on arXiv
Abstract
We show certain rigidity for minimizers of generalized Colding-Minicozzi entropies. The proofs are elementary and work even in situations where the generalized entropies are not monotone along mean curvature flow.
Comments: 14 pages
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Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Colding-Minicozzi Entropies in Cartan-Hadamard Manifolds
Topics Stability & uniqueness · Same author Jacob Bernstein · Shared terms “Minicozzi entropy”, “Colding Minicozzi”, “monotone”
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Li-Yau Conformal Volume and Colding-Minicozzi Entropy of Self-Shrinkers
Topics Mean curvature flow · Same author Jacob Bernstein · Shared terms “Minicozzi entropy”, “Colding Minicozzi”
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Cylindrical tangent flows in mean curvature flow
Topics Stability & uniqueness · Shared terms “Colding Minicozzi”
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Compactness and rigidity of self-shrinking surfaces
Topics Stability & uniqueness · Shared terms “Minicozzi”, “Colding”, “minimizers”
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Uniqueness of blowups for forced mean curvature flow
Topics Stability & uniqueness · Shared terms “Colding Minicozzi”
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A nonexistence result for rotating mean curvature flows in
Topics Stability & uniqueness · Shared terms “Colding Minicozzi”
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The PDE-ODI principle and cylindrical mean curvature flows
Topics Stability & uniqueness · Shared terms “Colding Minicozzi”
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On the Stability of Cylindrical Singularities of the Mean Curvature Flow
Topics Stability & uniqueness · Shared terms “Minicozzi”, “Colding”
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 6A.10Curve Shortening and the First Geometric Flows
Shrinking circles, grim reapers, neckpinches and Huisken’s monotonicity, seen in the plane.