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Abundance of minimal surfaces (Q2274125)

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Language	Label	Description	Also known as
English	Abundance of minimal surfaces	scientific article

Statements

scholarly article

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Abundance of minimal surfaces (English)

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Japanese Journal of Mathematics. 3rd Series

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publication date

19 September 2019

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zbMATH Keywords

minimal surfaces

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min-max theory

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Morse index

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Fernando Codá Marques

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11537-019-1839-x

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The homotopy groups of the integral cycle groups

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ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES

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

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The asymptotics of ECH capacities

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Solution of the Problem of Plateau

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Normal and integral currents

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Flat Chains Over a Finite Coefficient Group

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On the fundamental group of a compact minimal submanifolds

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Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms

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The Allen-Cahn equation on closed manifolds

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Shortening embedded curves

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Isoperimetry of waists and concentration of maps

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Min-max for phase transitions and the existence of embedded minimal hypersurfaces

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Minimax problems related to cup powers and Steenrod squares

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Dense existence of periodic Reeb orbits and ECH spectral invariants

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Density of minimal hypersurfaces for generic metrics

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The catenoid estimate and its geometric applications

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Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory

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Weyl law for the volume spectrum

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Minimal surfaces - variational theory and applications

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Rigidity of min-max minimal spheres in three-manifolds

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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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The imbedding problem for Riemannian manifolds

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New applications of Min-max Theory

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

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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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Compactness of minimal hypersurfaces with bounded index

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Existence of infinitely many minimal hypersurfaces in closed manifolds

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Stable phase interfaces in the van der Waals–Cahn–Hilliard theory

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A strong minimax property of nondegenerate minimal submanifolds.

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On the bumpy metrics theorem for minimal submanifolds

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Min-max minimal hypersurface in \((M^{n+1}, g)\) with \(\mathrm{Ric} > 0\) and \(2 \leq n \leq 6\)

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Min-max hypersurface in manifold of positive Ricci curvature

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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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Identifiers

zbMATH Open document ID

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10.1007/s11537-019-1839-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2274125

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