Multiple convex hypersurfaces with prescribed mean curvature

Xi-Ping Zhu

Displaying similar documents to “Multiple convex hypersurfaces with prescribed mean curvature”

On the existence of convex hypersurfaces with prescribed mean curvature

Kaising Tso (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of $ℝ^{n + 1}$ and $ℍ^{n + 1}$

Barbara Nelli, Harold Rosenberg (1997)

Annales de l'institut Fourier

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We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic $n$ -dimensional space and we obtain removable singularities theorems.

A direct method approach for the existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature.

Kaising Tso (1992)

Mathematische Zeitschrift

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Starshaped hypersurfaces and the mean curvature flow.

Knut Smoczyk (1998)

Manuscripta mathematica

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Deforming convex hypersurfaces by the square root of the scalar curvature.

B. Chow (1987)

Inventiones mathematicae

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Type-II singularities of two-convex immersed mean curvature flow

Theodora Bourni, Mat Langford (2016)

Geometric Flows

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We show that any strictly mean convex translator of dimension n ≥ 3 which admits a cylindrical estimate and a corresponding gradient estimate is rotationally symmetric. As a consequence, we deduce that any translating solution of the mean curvature flow which arises as a blow-up limit of a two-convex mean curvature flow of compact immersed hypersurfaces of dimension n ≥ 3 is rotationally symmetric. The proof is rather robust, and applies to a more general class of translator equations....

A logarithmic Gauss curvature flow and the Minkowski problem

Kai-Seng Chou, Xu-Jia Wang (2000)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “Multiple convex hypersurfaces with prescribed mean curvature”

On the existence of convex hypersurfaces with prescribed mean curvature

Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of ℝ n + 1 and ℍ n + 1

A direct method approach for the existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature.

Starshaped hypersurfaces and the mean curvature flow.

Deforming convex hypersurfaces by the square root of the scalar curvature.

Type-II singularities of two-convex immersed mean curvature flow

A logarithmic Gauss curvature flow and the Minkowski problem

Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of $ℝ^{n + 1}$ and $ℍ^{n + 1}$