A note on Killing fields and CMC hypersurfaces

DOI10.1016/j.jmaa.2015.06.016zbMath1326.53080OpenAlexW643141907WikidataQ126081508 ScholiaQ126081508MaRDI QIDQ491857

Marco Rigoli, Luciano Mari, Paolo Mastrolia

Publication date: 19 August 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.2015.06.016

zbMATH Keywords

stabilityoscillationhypersurfaceKilling vector fieldmean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General theory for ordinary differential equations (34A99)

Related Items (5)

Stable maximal hypersurfaces in Lorentzian spacetimes ⋮ Stability of mean curvature flow solitons in warped product spaces ⋮ Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers ⋮ Remarks on mean curvature flow solitons in warped products ⋮ On the geometry of Einstein-type structures

Cites Work

• Unnamed Item
• Unnamed Item
• On the finiteness of the Morse index for Schrödinger operators
• Yamabe type equations with sign-changing nonlinearities on non-compact Riemannian manifolds
• Function theory on manifolds which possess a pole
• Yamabe-type equations on complete, noncompact manifolds
• Liouville type theorems for \(\varphi\)-subharmonic functions.
• A theorem of Myers
• On local and global existence of Killing vector-fields
• On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\).
• Finiteness of the lower spectrum of Schrödinger operators
• Positive solutions of elliptic equations
• Conformal Ricci solitons and related integrability conditions
• Killing fields, mean curvature, translation maps
• Constant positive 2-mean curvature hypersurfaces
• Inverse spectral positivity for surfaces
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• The behaviour of solutions of a linear differential equation of second order
• Unique continuation in geometry
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• On some aspects of oscillation theory and geometry

This page was built for publication: A note on Killing fields and CMC hypersurfaces