J. Simons' type integral formula for hypersurfaces in a unit sphere
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Publication:2470526
DOI10.1016/J.JMAA.2007.09.066zbMath1138.53052OpenAlexW2090162950MaRDI QIDQ2470526
Publication date: 14 February 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.09.066
Related Items (7)
Characterizations of a Clifford hypersurface in a unit sphere via Simons' integral inequalities ⋮ Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere ⋮ Characterizing small spheres in a unit sphere by Fischer-Marsden equation ⋮ Characterizations of a Clifford Hypersurface in a Unit Sphere ⋮ Unnamed Item ⋮ A Simons type integral inequality for closed submanifolds in the product space \(\mathbb{S}^n\times\mathbb{R}\) ⋮ Sharp Simons type integral inequalities for closed linear Weingarten submanifolds in a space form
Cites Work
- Rigidity theorem for hypersurfaces in a unit sphere
- Rotational hypersurfaces of space forms with constant scalar curvature
- Global rigidity theorems of hypersurfaces
- Hypersurfaces with constant scalar curvature
- Minimal varieties in Riemannian manifolds
- Compact embedded rotation hypersurfaces of \(S^{n+1}\)
- Rotation Hypersurfaces in Spaces of Constant Curvature
- Complete rotation hypersurfaces with Hk constant in space forms
- Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
- Hypersurfaces with constant scalar curvature in space forms
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