Generic scarring for minimal hypersurfaces along stable hypersurfaces

DOI10.1007/s00039-021-00571-7zbMath1479.53072arXiv2006.03038OpenAlexW3186901527WikidataQ125865071 ScholiaQ125865071MaRDI QIDQ2232161

Antoine Song, Xin Zhou

Publication date: 4 October 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03038

zbMATH Keywords

areaMorse indexscarringclosed Riemannian 3-manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (7)

Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres ⋮ Mean curvature and variational theory ⋮ The p-widths of a surface ⋮ Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces ⋮ Multiplicity one for min-max theory in compact manifolds with boundary and its applications ⋮ Existence of infinitely many minimal hypersurfaces in closed manifolds ⋮ A comparison of the Almgren-Pitts and the Allen-Cahn min-max theory

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