A Gap in the Morse Index of Minimal Hypersurfaces in the Product of Spheres

DOI10.1007/S12220-024-01648-ZMaRDI QIDQ6500227

Publication date: 10 May 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Index theory and related fixed-point theorems on manifolds (58J20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

Unnamed Item
Unnamed Item
Min-max hypersurface in manifold of positive Ricci curvature
Low index minimal hypersurfaces of spheres
Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres
Estimate for index of closed minimal hypersurfaces in spheres
Comparing the Morse index and the first Betti number of minimal hypersurfaces
Weyl law for the volume spectrum
Density of minimal hypersurfaces for generic metrics
First stability eigenvalue of singular minimal hypersurfaces in spheres
A strong maximum principle for singular minimal hypersurfaces
Second variation of one-sided complete minimal surfaces
Minimal hypersurfaces in the product of two spheres with index one
Minimal hypersurfaces with low index in the real projective space
The first \(p\)-widths of the unit disk
On the multiplicity one conjecture in min-max theory
The width of ellipsoids
Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
Minimal varieties in Riemannian manifolds
On the fundamental group of a compact minimal submanifolds
Isoperimetric regions in cones
Minimal Surfaces with Low Index in the Three-Dimensional Sphere
Index bounds for minimal hypersurfaces of the sphere
Differential Topology
The second variation of nonorientable minimal submanifolds
Min-max widths of the real projective 3-space
On stable compact minimal submanifolds
A short note about 1-width of Lens spaces
The first and second widths of the real projective space
An improved Morse index bound of min-max minimal hypersurfaces

This page was built for publication: A Gap in the Morse Index of Minimal Hypersurfaces in the Product of Spheres