A logarithmic Gauss curvature flow and the Minkowski problem

Kai-Seng Chou; Xu-Jia Wang

Displaying similar documents to “A logarithmic Gauss curvature flow and the Minkowski problem”

On the existence of convex hypersurfaces with prescribed mean curvature

Kaising Tso (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Existence and convexity for hyperspheres of prescribed mean curvature

Andrejs Treibergs (1985)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Multiple convex hypersurfaces with prescribed mean curvature

Xi-Ping Zhu (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures

Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

Convexity estimates for flows by powers of the mean curvature

Felix Schulze (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We study the evolution of a closed, convex hypersurface in $ℝ^{n + 1}$ in direction of its normal vector, where the speed equals a power $k \geq 1$ of the mean curvature. We show that if initially the ratio of the biggest and smallest principal curvatures at every point is close enough to $1$ , depending only on $k$ and $n$ , then this is maintained under the flow. As a consequence we obtain that, when rescaling appropriately as the flow contracts to a point, the evolving surfaces converge to the unit sphere. ...

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

B. Chow (1987)

Inventiones mathematicae

Similarity:

Displaying similar documents to “A logarithmic Gauss curvature flow and the Minkowski problem”

On the existence of convex hypersurfaces with prescribed mean curvature

Existence and convexity for hyperspheres of prescribed mean curvature

Multiple convex hypersurfaces with prescribed mean curvature

Closed hypersurfaces of S 4 with two constant symmetric curvatures

Convexity estimates for flows by powers of the mean curvature

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

Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures