Marginally trapped submanifolds in space forms with arbitrary signature

Henri Anciaux

Vol. 272 (2014), No. 2, 257–274

DOI: 10.2140/pjm.2014.272.257

Abstract

We give explicit representation formulas for marginally trapped submanifolds of codimension two in pseudo-Riemannian spaces with arbitrary signature and constant sectional curvature.

Dedicated to the memory of Franki Dillen (1963–2013).

Keywords

marginally trapped submanifolds, pseudo-Riemannian manifolds, mean curvature vector

Mathematical Subject Classification 2010

Primary: 53A10, 53C42

Milestones

Received: 23 September 2013

Revised: 20 February 2014

Accepted: 30 July 2014

Published: 28 November 2014