A gap theorem on submanifolds with finite total curvature in spheres
From MaRDI portal
Publication:2019225
DOI10.1016/j.jmaa.2013.11.064zbMath1314.53103OpenAlexW2014453211MaRDI QIDQ2019225
Publication date: 27 March 2015
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.2013.11.064
Related Items (10)
VANISHING THEOREMS FOR HYPERSURFACES IN THE UNIT SPHERE ⋮ \(L^{p}\) harmonic 1-forms on submanifolds in spheres ⋮ The topological structure of complete noncompact submanifolds in spheres ⋮ Finiteness of non-parabolic ends on submanifolds in spheres ⋮ Vanishing theorem for \(p\)-harmonic 1-forms on complete submanifolds in spheres ⋮ \(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle ⋮ Rigidity of complete minimal hypersurfaces in the Euclidean space ⋮ The topological structure of conformally flat Riemannian manifolds ⋮ \(L^p\) harmonic 1-forms on totally real submanifolds in a complex projective space ⋮ Gap theorems on hypersurfaces in spheres
Cites Work
- Unnamed Item
- Refined Kato inequalities for harmonic fields on Kähler manifolds
- \(L ^{2}\)-harmonic forms and stable hypersurfaces in space forms
- Harmonic functions and the structure of complete manifolds
- \(L^2\)-cohomology and Sobolev inequalities
- \(L^ 2\) harmonic forms and stability of minimal hypersurfaces
- On the \(L^2\)-cohomology of a convex cocompact hyperbolic manifold
- Total scalar curvature and \(L^2\) harmonic 1-forms on a minimal hypersurface in Euclidean space
- Rigidity of minimal submanifolds in hyperbolic space
- An Estimate on the Ricci Curvature of a Submanifold and Some Applications
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- L 2 harmonic forms and stability of hypersurfaces with constant mean curvature
This page was built for publication: A gap theorem on submanifolds with finite total curvature in spheres