Foliations of a smooth metric measure space by hypersurfaces with constant \(f\)-mean curvature

DOI10.2140/pjm.2014.271.231zbMath1311.53026OpenAlexW2041221367MaRDI QIDQ471296

Juncheol Pyo

Publication date: 14 November 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2014.271.231

zbMATH Keywords

foliationsmooth metric measure space\(f\)-stableconstant \(f\)-mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12)

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Rigidity of minimal hypersurfaces with free boundary in a ball ⋮ Compact translating solitons with non-empty planar boundary ⋮ Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space ⋮ Translating solitons for the inverse mean curvature flow ⋮ Rigidity results of weighted area-minimizing hypersurfaces ⋮ Translating solitons foliated by spheres ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted bi-Ricci curvature bounded from below

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