A class of variational functionals in conformal geometry

Details A class of variational functionals in conformal geometry A class of variational functionals in conformal geometry

2008-03-03

arxiv.org/abs/0803.0333v1

International Mathematics Research Notices, 2008, Article ID rnn008

Mathematics

Differential Geometry

16 pages

Scientific paper

10.1093/imrn/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.

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