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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	85-120
Number of pages	36
Journal	Communications in Analysis and Geometry
Volume	11
Issue number	1
DOIs	https://doi.org/10.4310/CAG.2003.v11.n1.a5
Publication status	Published - 1 Jan 2003
Externally published	Yes

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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 × N.",

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

year = "2003",

month = jan,

day = "1",

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

language = "English",

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pages = "85--120",

journal = "Communications in Analysis and Geometry",

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AU - Levin, Daniel

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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.

AB - 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.

U2 - 10.4310/CAG.2003.v11.n1.a5

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

M3 - Article

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SN - 1019-8385

VL - 11

SP - 85

EP - 120

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 1

ER -

On isoperimetric profiles of product spaces

Abstract

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