Asian Journal of Mathematics

Volume 23 (2019)

Number 6

An Alexandrov theorem in Minkowski spacetime

Pages: 933 – 952

DOI: https://dx.doi.org/10.4310/AJM.2019.v23.n6.a3

Authors

Oussama Hijazi (Institut Élie Cartan, Université de Lorraine, Vandoeuvre-Lès-Nancy, France)

Sebastián Montiel (Departamento de Geometría y Topología, Universidad de Granada, Spain)

Simon Raulot (Laboratoire de Mathématiques R. Salem, UMR 6085 CNRS, Université de Rouen, Saint-Étienne-du-Rouvray, France)

Abstract

In this paper, using a spinorial approach, we generalize a theorem à la Alexandrov of Wang, Wang and Zhang [WWZ] to closed codimension-two spacelike submanifolds in the Minkowski spacetime for an adapted CMC condition.

Keywords

Einstein equations, spinors, Dirac operators, submanifolds, Alexandrov theorem

2010 Mathematics Subject Classification

53C27, 53C40, 53C80

Full Text (PDF format)

The second author was partially supported by a Spanish MEC-FEDER grant No. MTM2011-22547.

Received 4 November 2017

Accepted 24 September 2018

Published 3 August 2020