Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres (Q6074571)

scientific article; zbMATH DE number 7749404

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English	Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	scientific article; zbMATH DE number 7749404

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instance of

scholarly article

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title

Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres (English)

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zbMATH Open document ID

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Communications on Pure and Applied Mathematics

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publication date

12 October 2023

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full work available at URL

https://arxiv.org/abs/2012.13379

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Mathematics Subject Classification ID

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3-spheres

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CMC surfaces

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bi-harmonic approximation

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min-max sequences

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Morse index

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MaRDI profile type

MaRDI publication profile

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The homotopy groups of the integral cycle groups

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Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

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Complete constant mean curvature hypersurfaces in Euclidean space of dimension four or higher

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Multiple solutions ofH-systems and Rellich's conjecture

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Q4267561

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Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates

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Q4463915

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Width and finite extinction time of Ricci flow

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Existence and uniqueness of constant mean curvature spheres in

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Genus bounds for minimal surfaces arising from min-max constructions

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Q3998602

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Existence of hypersurfaces with prescribed mean curvature in Riemannian manifolds

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Comparison between second variation of area and second variation of energy of a minimal surface

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Q5187597

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Regularity of minimizing surfaces of prescribed mean curvature

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Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung

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Q4537523

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On the plateau problem for surfaces of constant mean curvature

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Density of minimal hypersurfaces for generic metrics

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Complete constant mean curvature surfaces in Euclidean three-space

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Genus bounds for min-max minimal surfaces

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Heat flow for extrinsic biharmonic maps with small initial energy

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Fourth order approximation of harmonic maps from surfaces

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Energy identity for approximations of harmonic maps from surfaces

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A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

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Weyl law for the volume spectrum

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Constant mean curvature hypersurfaces condensing on a submanifold

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Morse inequalities for the area functional

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Min-max theory and the Willmore conjecture

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Morse index and multiplicity of $\min\text{-}\max$ minimal hypersurfaces

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Existence of infinitely many minimal hypersurfaces in positive Ricci curvature

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Morse index of multiplicity one min-max minimal hypersurfaces

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Equidistribution of minimal hypersurfaces for generic metrics

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Critical point theory and Hamiltonian systems

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CMC doublings of minimal surfaces via min-max

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Constant mean curvature spheres in ${\rm Sol}_3$

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Constant mean curvature spheres in homogeneous three-spheres

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Constant mean curvature spheres in homogeneous three-manifolds

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Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

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Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes

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Regularity of isoperimetric hypersurfaces in Riemannian manifolds

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Q3379034

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Constant mean curvature spheres in Riemannian manifolds

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Q5548503

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Q3913480

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A viscosity method in the min-max theory of minimal surfaces

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Constant mean curvature surfaces in homogeneously regular 3-manifolds

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Degree Theory of Immersed Hypersurfaces

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The existence of minimal immersions of 2-spheres

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Minimal Immersions of Closed Riemann Surfaces

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Regularity of stable minimal hypersurfaces

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Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

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Q3344873

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Existence of infinitely many minimal hypersurfaces in closed manifolds

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Generic scarring for minimal hypersurfaces along stable hypersurfaces

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Large H-surfaces via the mountain-pass-lemma

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Nonuniqueness in the Plateau problem for surfaces of constant mean curvature

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The existence of surfaces of constant mean curvature with free boundaries

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Biharmonic maps from $\mathbb R^4$ into a Riemannian manifold

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Remarks on biharmonic maps into spheres

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Stationary biharmonic maps fromRm into a Riemannian manifold

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Q4135799

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Geometry of three manifolds and existence of black hole due to boundary effect

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Foliation by constant mean curvature spheres

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On the existence of min-max minimal torus

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On the existence of min-max minimal surface of genus g ≥ 2

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On the multiplicity one conjecture in min-max theory

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Existence of hypersurfaces with prescribed mean curvature I -- generic min-max

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Min-max theory for constant mean curvature hypersurfaces

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Mathematics(1 entry)

mardi Publication:6074571