A class of variational functionals in conformal geometry

We derive a class of variational functionals which arise naturally in conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides with the well studied functional which is the integration over the manifold of the k-symmetric function of th...

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Bibliographic Details
Published inarXiv.org
Main Authors Sun-Yung, Alice Chang, Fang, Hao
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.03.2008
Subjects
Mathematics - Differential Geometry
Riemann manifold
Tensors
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Summary:We derive a class of variational functionals which arise naturally in conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides with the well studied functional which is the integration over the manifold of the k-symmetric function of the Schouten tensor of the metric on the manifold.
ISSN:2331-8422
DOI:10.48550/arxiv.0803.0333