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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Mathematische Annale...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Mathematische Annalen
Article . 1989 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1989
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
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Scalar curvatures onS n

Scalar curvatures on \(S^ n\)
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1989 Germany English Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 283, pages 353-365 (issn: 0025-5831, eissn: 1432-1807, Copyright policy )
Authors: Chen, Wenxiong;

doi: 10.1007/bf01442733

Scalar curvatures onS n

Abstract

The author studies the question whether a given smooth function K on \(S^ n\) is the scalar curvature of a metric conformal to the standard metric. Not all functions can be realized - obstructions have been found by Kazdan-Warner and Bourguignon-Ezin. The author gives various sufficient conditions, related to work of Escobar and Schoen, for a positive answer to the question.

Country
Germany
Related Organizations
Keywords

510.mathematics, conformal transformation, scalar curvature, Yamabe problem, Article, Global Riemannian geometry, including pinching

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green