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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn008, 16 pages, doi:10.1093/imrn/rnn008 published on March 3, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

A Class of Variational Functionals in Conformal Geometry

Sun-Yung Alice Chang1 and Hao Fang2

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, USA
2 Department of Mathematics University of Iowa, Maclean Hall, Iowa City, IA 52242-1419, USA

Correspondence: Correspondence to be sent to: chang{at}math.princeton.edu

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.


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