On isoperimetric profiles of product spaces

Thierry Coulhon; Alexander Grigor'yan; Daniel Levin

doi:10.4310/CAG.2003.v11.n1.a5

On isoperimetric profiles of product spaces

Thierry Coulhon
, Alexander Grigor'yan
, Daniel Levin

CY Cergy Paris Université
Imperial College London

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

18 Citations (Scopus)

Résumé

Let p ∈ [1,+∞]. Given the L^p-isoperimetric profile of two non-compact Riemannian manifolds M and N, we compute the L ^p-isoperimetric profile of the product M × N.

langue originale	Anglais
Pages (de - à)	85-120
Nombre de pages	36
journal	Communications in Analysis and Geometry
Volume	11
Numéro de publication	1
Les DOIs	https://doi.org/10.4310/CAG.2003.v11.n1.a5
état	Publié - 1 janv. 2003
Modification externe	Oui

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10.4310/CAG.2003.v11.n1.a5

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title = "On isoperimetric profiles of product spaces",

abstract = "Let p ∈ [1,+∞]. Given the Lp-isoperimetric profile of two non-compact Riemannian manifolds M and N, we compute the L p-isoperimetric profile of the product M {\texttimes} N.",

author = "Thierry Coulhon and Alexander Grigor'yan and Daniel Levin",

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doi = "10.4310/CAG.2003.v11.n1.a5",

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N2 - Let p ∈ [1,+∞]. Given the Lp-isoperimetric profile of two non-compact Riemannian manifolds M and N, we compute the L p-isoperimetric profile of the product M × N.

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DO - 10.4310/CAG.2003.v11.n1.a5

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On isoperimetric profiles of product spaces

Résumé

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