English

A class of variational functionals in conformal geometry

Differential Geometry 2008-03-05 v1

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.

Keywords

Cite

@article{arxiv.0803.0333,
  title  = {A class of variational functionals in conformal geometry},
  author = {Sun-Yung Alice Chang and Hao Fang},
  journal= {arXiv preprint arXiv:0803.0333},
  year   = {2008}
}

Comments

16 pages

R2 v1 2026-06-21T10:17:58.346Z