Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator

Matthew J. Gursky; Fengbo Hang; Yueh Ju Lin

doi:10.1093/imrn/rnv176

Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator

Matthew J. Gursky, Fengbo Hang, Yueh Ju Lin

Mathematics

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

Abstract

For a Riemannian manifold with dimension at least 6, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.

Original language	English (US)
Pages (from-to)	1348-1367
Number of pages	20
Journal	International Mathematics Research Notices
Volume	2016
Issue number	5
DOIs	https://doi.org/10.1093/imrn/rnv176
State	Published - Jun 19 2016

ASJC Scopus subject areas

General Mathematics

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title = "Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator",

abstract = "For a Riemannian manifold with dimension at least 6, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.",

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AU - Hang, Fengbo

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AB - For a Riemannian manifold with dimension at least 6, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.

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Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator

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