On the total mean curvature of a compact space-like submanifold in Lorentz–Minkowski spacetime

DOI10.1017/S0308210517000063zbMath1381.53095OpenAlexW2766115131MaRDI QIDQ4602920

Oscar Palmas, Alfonso Romero, Francisco J. Palomo

Publication date: 7 February 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210517000063

zbMATH Keywords

total mean curvaturefirst eigenvalue of the LaplacianLorentz-Minkowski spacetimecompact space-like submanifoldsGauss-Bonnet-Chern-Avez theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in Lorentz–Minkowski spacetime 𝕃^m, Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds, Codimension two spacelike submanifolds in Lorentzian manifolds and conformal structures, A note on spacelike submanifolds through light cones in Lorentzian space forms, Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone