L 2 harmonic forms and stability of hypersurfaces with constant mean curvature

DOI10.1007/BF01244246zbMath0978.53114MaRDI QIDQ4523680

Xu Cheng

Publication date: 14 January 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldhypersurfaceharmonic form

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items

\(L_{f}\)-index bounds for closed \(f\)-minimal hypersurfaces, Stable complete noncompact hypersurfaces with constant mean curvature, Vanishing theorems for \(L^{2}\) harmonic forms on complete Riemannian manifolds, On stable constant mean curvature hypersurfaces, \(L^{2}\) harmonic 2-forms on minimal hypersurfaces in spheres, Vanishing theorems on hypersurfaces in Riemannian manifolds, \(L ^{2}\)-harmonic forms and stable hypersurfaces in space forms, The structure of weakly stable constant mean curvature hypersurfaces, \(L^2\) harmonic forms on submanifolds in a Hadamard manifold, Rigidity of complete minimal hypersurfaces in the Euclidean space, \(L^{2}\) harmonic 1-forms on minimal submanifolds in spheres, A gap theorem on submanifolds with finite total curvature in spheres, Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted bi-Ricci curvature bounded from below, L 2 harmonic forms and finiteness of ends, Gap theorems on hypersurfaces in spheres

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