A class of variational functionals in conformal geometry

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Abstract

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.

Original languageEnglish (US)
Article numberrnn008
JournalInternational Mathematics Research Notices
Volume2008
Issue number1
DOIs
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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