The stability of hypersurfaces with constant shifted k‐th mean curvature

DOI10.1002/mana.202000316OpenAlexW4206604665MaRDI QIDQ6080825

Haizhong Li, Yimin Chen

Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000316

zbMATH Keywords

stabilityhyperbolic spacehyperbolic Gauss mapshifted k-th curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Stability theory for manifolds (58K25)

Cites Work

• Unnamed Item
• Stability of hypersurfaces with constant mean curvature
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Stable hypersurfaces with constant scalar curvature
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space
• \(r\)-minimal submanifolds in space forms
• A note on Weingarten hypersurfaces in the warped product manifold
• Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V