Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold

DOI10.1016/J.NA.2015.11.026zbMath1333.53090OpenAlexW2190375296WikidataQ115342914 ScholiaQ115342914MaRDI QIDQ2634359

José. N. V. Gomes, Fábio R. dos Santos, Henrique Fernandes de Lima, Marco Antonio L. Velásquez

Publication date: 9 February 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.11.026

zbMATH Keywords

isoparametric hypersurfaceslocally symmetric Riemannian manifoldshypersurfaces with two distinct principal curvaturescomplete linear Weingarten hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (6)

A sharp scalar curvature estimate for CMC hypersurfaces satisfying an Okumura type inequality ⋮ Complete spacelike submanifolds in a locally symmetric semi-Riemannian space ⋮ Scalar curvature estimates of constant mean curvature hypersurfaces in locally symmetric spaces ⋮ Sharp eigenvalue estimates of closed $H$-hypersurfaces in locally symmetric spaces ⋮ A gap theorem for constant scalar curvature hypersurfaces ⋮ Revisiting linear Weingarten hypersurfaces immersed into a locally symmetric Riemannian manifold

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