A class of variational functionals in conformal geometry

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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.
16 pages

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Differential Geometry, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/156119

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0333
 http://arxiv.org/abs/0803.0333
 International Mathematics Research Notices, 2008, Article ID rnn008
 doi:10.1093/imrn/rnn008

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arXiv