Revisiting linear Weingarten hypersurfaces immersed into a locally symmetric Riemannian manifold
DOI10.1007/S40879-021-00467-8zbMath1491.53055OpenAlexW3158005474WikidataQ115371529 ScholiaQ115371529MaRDI QIDQ2115345
Henrique Fernandes de Lima, Lucas S. Rocha, Eudes Leite de Lima
Publication date: 15 March 2022
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40879-021-00467-8
linear Weingarten hypersurfacesRiemannian space formslocally symmetric Riemannian manifoldsOkumura-type inequality
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)
Cites Work
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- Rigidity theorems for hypersurfaces with constant mean curvature
- Complete hypersurfaces with constant scalar curvature in spheres
- A maximum principle for hypersurfaces with constant scalar curvature and applications
- On the scalar curvature of constant mean curvature hypersurfaces in space forms
- Hypersurfaces with constant scalar curvature
- A sharp scalar curvature estimate for CMC hypersurfaces satisfying an Okumura type inequality
- A new characterization of complete linear Weingarten hypersurfaces in real space forms
- A gap theorem for constant scalar curvature hypersurfaces
- Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere
- Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms
- Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold
- Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds
- COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY
- On maximal spacelike hypersurfaces in a Lorentzian manifold
- CONSTANT HIGHER-ORDER MEAN CURVATURE HYPERSURFACES IN RIEMANNIAN SPACES
- LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Maximum principles on Riemannian manifolds and applications
- Hypersurfaces of constant higher order mean curvature in warped products
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