A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality
From MaRDI portal
Publication:5070626
DOI10.4064/BA201228-2-2zbMath1494.53052OpenAlexW4211035917MaRDI QIDQ5070626
Eudes Leite de Lima, Henrique Fernandes de Lima
Publication date: 13 April 2022
Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/ba201228-2-2
totally umbilical hypersurfacesRiemannian space formsClifford toriOkumura-type inequalitycompact linear Weingarten hypersurfaces
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)
Cites Work
- 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
- Hypersurface of the hyperbolic space with constant scalar curvature
- Global rigidity theorems of hypersurfaces
- Hypersurfaces with constant scalar curvature
- A new characterization of complete linear Weingarten hypersurfaces in real space forms
- Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere
- Complete hypersurfaces with two distinct principal curvatures in a space form
- Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms
- HYPERSURFACES IN A UNIT SPHERE Sn+1(1) WITH CONSTANT SCALAR CURVATURE
- COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY
- LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Complete hypersurfaces in a Euclidean space R^n+1
- LINEAR WEINGARTEN HYPERSURFACES IN RIEMANNIAN SPACE FORMS
- Rigidity theorems for closed hypersurfaces in space forms
- RIGIDITY THEOREMS FOR HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A UNIT SPHERE
- Hypersurfaces with constant scalar curvature in space forms
- Hypersurfaces with constant scalar curvature in space forms
This page was built for publication: A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality
