Stability of mean curvature flow solitons in warped product spaces

DOI10.1007/S13163-021-00394-YzbMath1505.53098OpenAlexW3149805923MaRDI QIDQ2141394

Jorge Herbert S. de Lira, Luis J. Alías, Marco Rigoli

Publication date: 25 May 2022

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-021-00394-y

zbMATH Keywords

stabilitymean curvature flow solitonspectral theory of elliptic operators

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to mean curvature (53E10)

Related Items (1)

ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME

Cites Work

• Unnamed Item
• Volume growth eigenvalue and compactness for self-shrinkers
• On the finiteness of the Morse index for Schrödinger operators
• A note on Killing fields and CMC hypersurfaces
• Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
• Spectral radius, index estimates for Schrödinger operators and geometric applications
• On complete minimal surfaces with finite Morse index in three manifolds
• A relation between growth and the spectrum of the Laplacian
• Finiteness of the lower spectrum of Schrödinger operators
• Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers
• Mean curvature flow solitons in the presence of conformal vector fields
• Remarks on mean curvature flow solitons in warped products
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Maximum Principles and Geometric Applications
• Unique continuation in geometry
• Eigenvalue estimate on complete noncompact Riemannian manifolds and applications
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
• A remark on the maximum principle and stochastic completeness
• Volume estimate about shrinkers
• On some aspects of oscillation theory and geometry
• Stability and compactness for complete 𝑓-minimal surfaces

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