Index and first Betti number of \(f\)-minimal hypersurfaces and self-shrinkers

DOI10.4171/rmi/1150zbMath1450.53061arXiv1803.08268OpenAlexW2981444786MaRDI QIDQ783782

Alessandro Savo, Debora Impera, Michele Rimoldi

Publication date: 4 August 2020

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

Full work available at URL: https://arxiv.org/abs/1803.08268

zbMATH Keywords

genusBetti numberself-shrinkers\(f\)-minimal hypersurfacesindex estimates

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Quantitative index bounds for translators via topology ⋮ Index estimates for closed minimal submanifolds of the sphere ⋮ Index estimates for free boundary \(f\)-minimal hypersurfaces ⋮ Morse index bounds for minimal submanifolds ⋮ Index and first Betti number of \(f\)-minimal hypersurfaces: general ambients ⋮ Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted bi-Ricci curvature bounded from below ⋮ Bounds on the index of rotationally symmetric self-shrinking tori ⋮ Numerically computing the index of mean curvature flow self-shrinkers

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