Compacité des solutions du problème de Yamabe

Yan Yan Li; Lei Zhang

doi:10.1016/j.crma.2004.02.018

Compacité des solutions du problème de Yamabe

Translated title of the contribution: Compactness of solutions to the Yamabe problem

Yan Yan Li, Lei Zhang

School of Arts and Sciences, Mathematics

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

15 Scopus citations

Abstract

We establish compactness of solutions to the Yamabe problem on any smooth compact connected Riemannian manifold (not conformally diffeomorphic to standard spheres) of dimension n≤7 as well as on any manifold of dimension n≥8 under some additional hypothesis.

Translated title of the contribution	Compactness of solutions to the Yamabe problem
Original language	French
Pages (from-to)	693-695
Number of pages	3
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	9
DOIs	https://doi.org/10.1016/j.crma.2004.02.018
State	Published - May 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.crma.2004.02.018

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title = "Compacit{\'e} des solutions du probl{\`e}me de Yamabe",

abstract = "We establish compactness of solutions to the Yamabe problem on any smooth compact connected Riemannian manifold (not conformally diffeomorphic to standard spheres) of dimension n≤7 as well as on any manifold of dimension n≥8 under some additional hypothesis.",

author = "Li, {Yan Yan} and Lei Zhang",

year = "2004",

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doi = "10.1016/j.crma.2004.02.018",

language = "French",

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journal = "Comptes Rendus Mathematique",

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AU - Zhang, Lei

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AB - We establish compactness of solutions to the Yamabe problem on any smooth compact connected Riemannian manifold (not conformally diffeomorphic to standard spheres) of dimension n≤7 as well as on any manifold of dimension n≥8 under some additional hypothesis.

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 9

ER -

Compacité des solutions du problème de Yamabe

Abstract

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