\(L_{n/2}\)-pinching theorems for submanifolds with parallel mean curvature in a sphere
From MaRDI portal
Publication:1890835
DOI10.2969/jmsj/04630503zbMath0824.53048OpenAlexW1964899169MaRDI QIDQ1890835
Publication date: 30 October 1995
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/04630503
second fundamental formsectional curvaturesparallel mean curvature vectortotally umbilical submanifolds
Related Items (18)
Rigidity theorem for Willmore surfaces in a sphere ⋮ Characterizations of complete spacelike submanifolds in the \((n+p)\)-dimensional anti-de Sitter space of index \(q\) ⋮ On complete hypersurfaces with constant scalar curvature \(n(n-1)\) in the unit sphere ⋮ On energy gap phenomena of the Whitney spheres in \(\mathbb{C}^n\) or \(\mathbb{CP}^n\) ⋮ Rigidity of Willmore submanifolds and extremal submanifolds in the unit sphere ⋮ Some rigidity results of minimal submanifolds in space forms ⋮ Remarks on Gap Theorems for Complete Hypersurfaces with Constant Scalar Curvature ⋮ The extension and convergence of mean curvature flow in higher codimension ⋮ A new characterization of Willmore submanifolds ⋮ Gap theorems for submanifolds in \(\mathbb{H}^n\times\mathbb{R}\) ⋮ The extension for mean curvature flow with finite integral curvature in Riemannian manifolds ⋮ A gap theorem for complete submanifolds with parallel mean curvature in the hyperbolic space ⋮ \(L^2\)-isolation phenomenon for complete surfaces arising from Yang-Mills theory ⋮ The gap phenomenon for extremal submanifolds in a sphere ⋮ Rigidity of minimal submanifolds in space forms ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces ⋮ Global rigidity theorems for submanifolds with parallel mean curvature ⋮ Ancient solution of mean curvature flow in space forms
This page was built for publication: \(L_{n/2}\)-pinching theorems for submanifolds with parallel mean curvature in a sphere
