Totally umbilical hypersurfaces of manifolds admitting a unit Killing field

DOI10.1090/S0002-9947-2012-05472-9zbMath1277.53021arXiv1006.1261OpenAlexW1982396708MaRDI QIDQ2839946

Rabah Souam, Joeri Van der Veken

Publication date: 17 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1261

zbMATH Keywords

totally geodesicwarped productKilling fieldproduct manifoldtotally umbilical

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (8)

Compact stable surfaces with constant mean curvature in Killing submersions ⋮ Biharmonic hypersurfaces in a product space Lm×R ⋮ Killing submersions and magnetic curves ⋮ Constrained deformations of positive scalar curvature metrics, II ⋮ First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions ⋮ The classification of totally umbilical surfaces in homogeneous 3-manifolds ⋮ Totally umbilical hypersurfaces of product spaces ⋮ Functions with isotropic sections

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