Rigidity of isometric immersions into the light cone

Abstract

In this paper, we show the rigidity of isometric immersions for a Riemannian manifold of dimension $n-1$ into the light cone of $n+1$ dimensional Minkowski, de Sitter and anti-de Sitter spacetimes for $n\ge 3$.

Fix a mistake. All comments are welcome

References in corpus (4)

• Quasilocal mass in general relativity
• Isometric embeddings into the Minkowski space and new quasi-local mass
• An Optimal Choice of Reference for the Quasi-Local Gravitational Energy and Angular Momentum
• Isometric embedding of negatively curved complete surfaces in Lorentz-Minkowski space

Cited by in corpus (1)

• The small sphere limit of quasilocal energy in higher dimensions along lightcone cuts