Work

Complete CMC hypersurfaces in Minkowski (n+1)-space

Year: 2019

Type: preprint

Abstract: We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire spacelike CMC hypersurfaces in Minkowski space initiated by Choi and Treibergs. As an application, we prove that any entire surface of constant Gaussian curvature in 2+1 dimensions is isometric to a straight convex domain in the hyperbolic plane.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1912.05477

Authors: Bonsante, Francesco, Seppi, Andrea, Smillie, Peter

Institutions: California Institute of Technology, Centre National de la Recherche Scientifique, University of Pavia, Université Grenoble Alpes, Laboratoire de Mathématiques Blaise Pascal

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique

OpenAlex ID: W2995638494

Cites: 45

Cited by: 2

Related to: 10