Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres
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Publication:6074571
DOI10.1002/cpa.22114zbMath1530.53014arXiv2012.13379OpenAlexW4382394148MaRDI QIDQ6074571
Publication date: 12 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13379
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Cites Work
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- Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces
- On the existence of min-max minimal torus
- A viscosity method in the min-max theory of minimal surfaces
- Foliation by constant mean curvature spheres
- Complete constant mean curvature surfaces in Euclidean three-space
- Width and finite extinction time of Ricci flow
- Constant mean curvature spheres in Riemannian manifolds
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
- Large H-surfaces via the mountain-pass-lemma
- Nonuniqueness in the Plateau problem for surfaces of constant mean curvature
- The existence of surfaces of constant mean curvature with free boundaries
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- The existence of minimal immersions of 2-spheres
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Critical point theory and Hamiltonian systems
- Weyl law for the volume spectrum
- Density of minimal hypersurfaces for generic metrics
- Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
- Heat flow for extrinsic biharmonic maps with small initial energy
- Geometry of three manifolds and existence of black hole due to boundary effect
- Remarks on biharmonic maps into spheres
- Existence of hypersurfaces with prescribed mean curvature I -- generic min-max
- CMC doublings of minimal surfaces via min-max
- Constant mean curvature spheres in homogeneous three-spheres
- On the multiplicity one conjecture in min-max theory
- Morse index of multiplicity one min-max minimal hypersurfaces
- Generic scarring for minimal hypersurfaces along stable hypersurfaces
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Genus bounds for min-max minimal surfaces
- Min-max theory for constant mean curvature hypersurfaces
- Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
- Equidistribution of minimal hypersurfaces for generic metrics
- Min-max theory and the Willmore conjecture
- Fourth order approximation of harmonic maps from surfaces
- Constant mean curvature hypersurfaces condensing on a submanifold
- Regularity of minimizing surfaces of prescribed mean curvature
- The homotopy groups of the integral cycle groups
- Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
- Constant mean curvature spheres in homogeneous three-manifolds
- Existence of infinitely many minimal hypersurfaces in closed manifolds
- Constant mean curvature spheres in ${\rm Sol}_3$
- Existence and uniqueness of constant mean curvature spheres in
- Minimal Immersions of Closed Riemann Surfaces
- Multiple solutions ofH-systems and Rellich's conjecture
- Constant mean curvature surfaces in homogeneously regular 3-manifolds
- Comparison between second variation of area and second variation of energy of a minimal surface
- Genus bounds for minimal surfaces arising from min-max constructions
- Energy identity for approximations of harmonic maps from surfaces
- Regularity of stable minimal hypersurfaces
- Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
- Existence of hypersurfaces with prescribed mean curvature in Riemannian manifolds
- Regularity of isoperimetric hypersurfaces in Riemannian manifolds
- Stationary biharmonic maps fromRm into a Riemannian manifold
- Complete constant mean curvature hypersurfaces in Euclidean space of dimension four or higher
- Degree Theory of Immersed Hypersurfaces
- On the existence of min-max minimal surface of genus g ≥ 2
- On the plateau problem for surfaces of constant mean curvature
- Morse inequalities for the area functional