Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms

DOI10.21099/tkbjm/1496163169zbMath0906.53042OpenAlexW1855915878WikidataQ115233546 ScholiaQ115233546MaRDI QIDQ1375780

Alfonso Romero, Francisco J. M. Estudillo, Luis J. Alías

Publication date: 9 February 1999

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496163169

zbMATH Keywords

parallel mean curvature vectortotally umbilical submanifoldpseudo-Riemannian space formsspacelike submanifold

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)

Related Items

On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in Lorentz–Minkowski spacetime 𝕃^m, Umbilical properties of spacelike co-dimension two submanifolds, Complete spacelike submanifolds in a locally symmetric semi-Riemannian space, Isotropic submanifolds of pseudo-Riemannian spaces, Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\), Mean curvature of spacelike submanifolds in a Brinkmann spacetime, On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form, Complete space-like submanifolds with parallel mean curvature vector in a semi-Riemannian space form, Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone