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dc.contributor.authorLin, Yueh-Ju
dc.contributor.authorYuan, Wei
dc.date.accessioned2022-04-07T21:45:19Z
dc.date.available2022-04-07T21:45:19Z
dc.date.issued2022-02-11
dc.identifier.citationLin, YJ., Yuan, W. Deformations of Q-curvature II. Calc. Var. 61, 74 (2022). https://doi.org/10.1007/s00526-021-02181-5en_US
dc.identifier.issn1432-0835
dc.identifier.urihttps://doi.org/10.1007/s00526-021-02181-5
dc.identifier.urihttps://soar.wichita.edu/handle/10057/22842
dc.descriptionClick on the DOI to access this article from publisher. Preprint version available.en_US
dc.description.abstractThis is the second article of a sequence of research on deformations of Q-curvature. In the previous one, we studied local stability and rigidity phenomena of Q-curvature. In this article, we mainly investigate the volume comparison with respect to Q-curvature. In particular, we show that volume comparison theorem holds for metrics close to strictly stable positive Einstein metrics. This result shows that Q-curvature can still control the volume of manifolds under certain conditions, which provides a fundamental geometric characterization of Q-curvature. Applying the same technique, we derive the local rigidity of strictly stable Ricci-flat manifolds with respect to Q-curvature, which shows the non-existence of metrics with positive Q-curvature near the reference metric.en_US
dc.description.sponsorshipNSFC (Grant No. 12071489, No. 12025109, No. 11521101).en_US
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.relation.ispartofseriesCalculus of Variations and Partial Differential Equations;2022
dc.subjectDifferential geometryen_US
dc.subjectMathematicsen_US
dc.titleDeformations of Q-curvature IIen_US
dc.typeArticleen_US
dc.rights.holder© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022en_US


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