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A class of variational functionals in conformal geometry
Journal article   Peer reviewed

A class of variational functionals in conformal geometry

Sun-Yung Alice Chang and Hao Fang
International mathematics research notices, Vol.2008(1), rnn008
03/03/2008
DOI: 10.1093/imrn/rnn008
url
https://arxiv.org/pdf/0803.0333View
Open Access

Abstract

International Mathematics Research Notices, 2008, Article ID rnn008 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.
Mathematics - Differential Geometry

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