Index of compact minimal submanifolds of the Berger spheres

2021/10/15 by Francisco Torralbo, Torralbo, Francisco, Francisco Urbano +1 · 4 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2110.08027

Abstract

The stability and the index of compact minimal submanifolds of the Berger spheres \mathbbS²ⁿ⁺¹_τ, 0

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• Minimal equators and homological systoles in Berger projective spaces
• When can minimal hypersurfaces be connected by mean curvature flow?
• On steady and expanding Ricci solitons with asymptotic symmetries
• Volume spectrum of fiber bundles and the widths of Berger spheres

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