Vanishing theorems on hypersurfaces in Riemannian manifolds

DOI10.1016/j.na.2012.04.019zbMath1243.53105OpenAlexW1970983448WikidataQ115343014 ScholiaQ115343014MaRDI QIDQ435078

Peng Zhu

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.019

zbMATH Keywords

constant mean curvatureharmonic formstable hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Stable complete minimal surfaces in 𝑅³ are planes
• L 2 harmonic forms and stability of hypersurfaces with constant mean curvature

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