Index and first Betti number of \(f\)-minimal hypersurfaces: general ambients

DOI10.1007/s10231-020-00961-yzbMath1453.53061arXiv1811.04009OpenAlexW3007426938MaRDI QIDQ2210721

Debora Impera, Michele Rimoldi

Publication date: 8 November 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04009

zbMATH Keywords

Betti numbershrinking Ricci solitons\(f\)-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 (1)

Index estimates for free boundary \(f\)-minimal hypersurfaces

Cites Work

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• Comparing the Morse index and the first Betti number of minimal hypersurfaces
• Rigidity of gradient Ricci solitons
• Gradient shrinking solitons with vanishing Weyl tensor
• \(L_{f}\)-index bounds for closed \(f\)-minimal hypersurfaces
• One-sided complete stable minimal surfaces
• Index bounds for minimal hypersurfaces of the sphere
• The heat kernel weighted Hodge Laplacian on noncompact manifolds

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