Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces
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Publication:6177380
DOI10.1215/00127094-2023-0012arXiv1911.09166OpenAlexW4382284107MaRDI QIDQ6177380
Publication date: 31 August 2023
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.09166
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Cites Work
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- New minimal surfaces in \(\mathbb S^3\) desingularizing the Clifford tori
- The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus
- Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces
- Non-compactness of the space of minimal hypersurfaces
- Local removable singularity theorems for minimal laminations
- Minimal cones and the spherical Bernstein problem. II
- Regularity of Einstein manifolds and the codimension 4 conjecture
- Minimal cones and the spherical Bernstein problem. I
- The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
- Manifolds of nonpositive curvature
- Curvature, diameter and Betti numbers
- Curvature estimates for minimal hypersurfaces
- The Allen-Cahn equation on closed manifolds
- Compactness of minimal hypersurfaces with bounded index
- Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. I
- Comparing the Morse index and the first Betti number of minimal hypersurfaces
- Density of minimal hypersurfaces for generic metrics
- Singular limit laminations, Morse index, and positive scalar curvature
- The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks
- The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks
- The space of embedded minimal surfaces of fixed genus in a 3-manifold. III: Planar domains
- The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
- Second variation of one-sided complete minimal surfaces
- The index and nullity of the Lawson surfaces \(\xi_{g,1}\)
- The catenoid estimate and its geometric applications
- Geometric convergence results for closed minimal surfaces via bubbling analysis
- Minimal surfaces in the three-sphere by desingularizing intersecting Clifford tori
- On the multiplicity one conjecture in min-max theory
- The singular structure and regularity of stationary varifolds
- Morse index of multiplicity one min-max minimal hypersurfaces
- Generic scarring for minimal hypersurfaces along stable hypersurfaces
- Minimal hyperspheres of arbitrarily large Morse index
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Minimal surfaces in the 3-sphere by stacking Clifford tori
- Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
- Minimal hypersurfaces with bounded index
- Equidistribution of minimal hypersurfaces for generic metrics
- Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces
- One-sided complete stable minimal surfaces
- A general regularity theory for stable codimension 1 integral varifolds
- Complete minimal surfaces in \(S^ 3\)
- Existence of minimal surfaces of arbitrarily large Morse index
- Existence of infinitely many minimal hypersurfaces in closed manifolds
- Stable minimal hypersurfaces in \(\mathbb{R}^{N+1+\ell}\) with singular set an arbitrary closed \(K\subset\{0\}\times\mathbb{R}^{\ell}\)
- Index bounds for minimal hypersurfaces of the sphere
- Sharp asymptotics of the first eigenvalue on some degenerating surfaces
- Comparison between second variation of area and second variation of energy of a minimal surface
- Minimal surfaces in the three-sphere by doubling the Clifford torus
- Seminar on Differential Geometry. (AM-102)
- Regularity of stable minimal hypersurfaces
- A note on the index of closed minimal hypersurfaces of flat tori
- Generic finiteness of minimal surfaces with bounded Morse index
- Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area
- Doubling and Desingularization Constructions for Minimal Surfaces
- Minimal Surfaces in the Round Three‐Sphere by Doubling the Equatorial Two‐Sphere, II
- Riemannian Geometry
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