On the rigidity of spacelike submanifolds with parallel Gaussian mean curvature vector

DOI10.1007/S10474-023-01328-4OpenAlexW4377237856MaRDI QIDQ6111806

Weiller F. C. Barboza, Henrique Fernandes de Lima

Publication date: 4 August 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-023-01328-4

zbMATH Keywords

polynomial volume growthpseudo-Euclidean spacedrift Laplacianconvergence to zero at infinitycomplete spacelike submanifoldGaussian mean curvature vector

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Cites Work

• Some results on space-like self-shrinkers
• Rigidity of self-shrinkers and translating solitons of mean curvature flows
• A maximum principle related to volume growth and applications
• A rigidity result of spacelike self-shrinkers in pseudo-Euclidean spaces
• A maximum principle at infinity with applications to geometric vector fields
• A rigidity result of spacelike \(\xi \)-submanifolds in pseudo-Euclidean spaces
• A note on rigidity of spacelike self-shrinkers

This page was built for publication: On the rigidity of spacelike submanifolds with parallel Gaussian mean curvature vector