Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons

DOI10.1007/s10455-017-9588-7zbMath1395.58024OpenAlexW2773330322MaRDI QIDQ1647727

Adina Rocha, Hilário Alencar

Publication date: 26 June 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-017-9588-7

zbMATH Keywords

stabilityhypersurfaceindexgradient Ricci solitonsweighted mean curvatureweighted volume

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Variational principles in infinite-dimensional spaces (58E30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian, \(\lambda\)-Hypersurfaces on shrinking gradient Ricci solitons, Minimal submanifolds in a metric measure space, Stable and isoperimetric regions in some weighted manifolds with boundary, Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights, Volume estimates and classification theorem for constant weighted mean curvature hypersurfaces, Hopf-type theorem for self-shrinkers

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