DOIAbstract
We prove the compactness of self-shrinkers in $\mathbb R^3$ with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounded by the entropy and genus
We prove the compactness of self-shrinkers in $\mathbb R^3$ with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounded by the entropy and genus
Let $X:M^n\to \mathbb{R}^{n+1}$ be a complete properly immersed self-shrinker. In this paper, we pro...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
We record work done by the author joint with John Ross [27] on stable smooth solutions to the gaussi...
Original manuscript July 15, 2009We prove a smooth compactness theorem for the space of embedded sel...
In this work, we study the space of complete embedded rotationally symmetric self-shrinking hypersur...
In this article we study smooth asymptotically conical self shrinkers in $\mathbb{R}^4$ with Colding...
Abstract We study geometric properties of complete non-compact bounded self-shrinkers and obtain nat...
The entropy functional introduced by Colding and Minicozzi plays a fundamental role in the analysis ...
We prove that any sequence {Fn : ∑ → ℝ⁴} of conformally branched compact Lagrangian self-shrinkers t...
The entropy of a hypersurface is a geometric invariant that measures complexity and is invariant und...
Abstract. We construct many closed, embedded mean curvature self-shrinking surfaces Σ2g ⊆ R3 of high...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
We prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers wit...
We record in this thesis three results concerning entropy and singularities in mean curvature ow (M...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
Let $X:M^n\to \mathbb{R}^{n+1}$ be a complete properly immersed self-shrinker. In this paper, we pro...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
We record work done by the author joint with John Ross [27] on stable smooth solutions to the gaussi...
Original manuscript July 15, 2009We prove a smooth compactness theorem for the space of embedded sel...
In this work, we study the space of complete embedded rotationally symmetric self-shrinking hypersur...
In this article we study smooth asymptotically conical self shrinkers in $\mathbb{R}^4$ with Colding...
Abstract We study geometric properties of complete non-compact bounded self-shrinkers and obtain nat...
The entropy functional introduced by Colding and Minicozzi plays a fundamental role in the analysis ...
We prove that any sequence {Fn : ∑ → ℝ⁴} of conformally branched compact Lagrangian self-shrinkers t...
The entropy of a hypersurface is a geometric invariant that measures complexity and is invariant und...
Abstract. We construct many closed, embedded mean curvature self-shrinking surfaces Σ2g ⊆ R3 of high...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
We prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers wit...
We record in this thesis three results concerning entropy and singularities in mean curvature ow (M...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
Let $X:M^n\to \mathbb{R}^{n+1}$ be a complete properly immersed self-shrinker. In this paper, we pro...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
We record work done by the author joint with John Ross [27] on stable smooth solutions to the gaussi...
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