Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

Renata Grimaldi; Stefano Nardulli; Pierre Pansu

hal-00720216, version 1

Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

Renata Grimaldi () ¹, Stefano Nardulli () ^1, 2, Pierre Pansu (, ) ²

C. R. Acad. Sci. Paris 347 (2009) 293-297

Abstract: We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumption, this can happen only on topological spheres.

1: Dipartimento di Metodi e Modelli Matematici (DMMM)
Università degli studi di Palermo
2: Laboratoire de Mathématiques d'Orsay (LM-Orsay)
CNRS : UMR8628 – Université Paris XI - Paris Sud

hal-00720216, version 1
http://hal.archives-ouvertes.fr/hal-00720216
oai:hal.archives-ouvertes.fr:hal-00720216
From: Pierre Pansu <>
Submitted on: Tuesday, 24 July 2012 09:52:28
Updated on: Tuesday, 24 July 2012 10:29:31

See detailed view

Associated documents

PDF :

PS :

arXiv: 1207.5616

Export

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="article"><head>Articles in peer-reviewed journal</head>
<biblStruct type="article" xml:id="hal-00720216"><analytic>
<author><persName><forename>Renata</forename><surname>Grimaldi</surname></persName>
<affiliation>
<orgName type="laboratory">DMMM</orgName>
<orgName type="team">Dipartimento di Metodi e Modelli Matematici</orgName>
<country>IT</country>
<orgName type="institution">Università degli studi di Palermo</orgName>
</affiliation>
</author>
<author><persName><forename>Stefano</forename><surname>Nardulli</surname></persName>
<affiliation>
<orgName type="laboratory">DMMM</orgName>
<orgName type="team">Dipartimento di Metodi e Modelli Matematici</orgName>
<country>IT</country>
<orgName type="institution">Università degli studi di Palermo</orgName>
</affiliation>
<affiliation>
<orgName type="laboratory">LM-Orsay</orgName>
<orgName type="team">Laboratoire de Mathématiques d'Orsay</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR8628</orgName>
<orgName type="institution">Université Paris XI - Paris Sud</orgName>
</affiliation>
</author>
<author><persName><forename>Pierre</forename><surname>Pansu</surname></persName>
<affiliation>
<orgName type="laboratory">LM-Orsay</orgName>
<orgName type="team">Laboratoire de Mathématiques d'Orsay</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR8628</orgName>
<orgName type="institution">Université Paris XI - Paris Sud</orgName>
</affiliation>
</author>
<title type="main" level="a">Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds</title></analytic><monogr><title level="j" type="main">C. R. Acad. Sci. Paris</title><imprint><biblScope type="publicationDate">2009-00-00</biblScope><biblScope type="vol">347</biblScope><biblScope type="pp">293-297</biblScope></imprint></monogr><idno type="HALid">http://hal.archives-ouvertes.fr/hal-00720216</idno><idno type="HALFile">http://hal.archives-ouvertes.fr/hal-00720216/PDF/CRengl08.pdf</idno></biblStruct>
</listBibl>
</listBibl>