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The isoperimetric problem for lens spaces (Q2423421)

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Language	Label	Description	Also known as
English	The isoperimetric problem for lens spaces	scientific article

Statements

scholarly article

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The isoperimetric problem for lens spaces (English)

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Mathematische Annalen

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publication date

21 June 2019

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full work available at URL

https://arxiv.org/abs/1702.05816

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zbMATH Keywords

large fundamental group

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isoperimetric surface

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geodesic spheres

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quotients of Clifford tori

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MaRDI profile type

MaRDI publication profile

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

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Stability of hypersurfaces with constant mean curvature

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Stability of hypersurfaces of constant mean curvature in Riemannian manifolds

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Sur le volume minimal de ${R}\sp 2$

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An isoperimetric comparison theorem for Schwarzschild space and other manifolds

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Stability of complete noncompact surfaces with constant mean curvature

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Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions

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The periodic isoperimetric problem

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On soap bubbles and isoperimetric regions in non-compact symmetric spaces. I

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On the uniqueness of isoperimetric solutions and imbedded soap bubbles in non-compact symmetric spaces. I

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The structure of complete embedded surfaces with constant mean curvature

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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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Min-max theory and the Willmore conjecture

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Regularity of isoperimetric hypersurfaces in Riemannian manifolds

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Steiner and Schwarz symmetrization in warped products and fiber bundles with density

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Some sharp isoperimetric theorems for Riemannian manifolds

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The isoperimetric profile of a smooth Riemannian manifold for small volumes

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The isoperimetric problem in spherical cylinders

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Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems

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Riemannian Geometry

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Applications of compactness results for harmonic maps to stable constant mean curvature surfaces

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Stable constant mean curvature tori and the isoperimetric problem in three space forms

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The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds

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Compact hypersurfaces with constant higher order mean curvatures

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The Willmore conjecture in the real projective space

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Compact stable constant mean curvature surfaces in homogeneous 3-manifolds

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A local regularity theorem for mean curvature flow

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Identifiers

zbMATH Open document ID

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10.1007/s00208-018-1792-7

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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:2423421

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