• DOI:10.1353/ajm.2007.0011
Corpus ID: 119159776

Conformal deformations of the smallest eigenvalue of the Ricci tensor

@article{Guan2005ConformalDO,
  title={Conformal deformations of the smallest eigenvalue of the Ricci tensor},
  author={P. Guan and P. Wang},
  journal={American Journal of Mathematics},
  year={2005},
  volume={129},
  pages={499 - 526}
}

P. Guan, P. Wang

Published 2005

Mathematics

American Journal of Mathematics

We consider deformations of metrics in a given conformal class such that the smallest eigenvalue of the Ricci tensor is a constant. It is related to the notion of minimal volumes in comparison geometry. Such a metric with the smallest eigenvalue of the Ricci tensor to be a constant is an extremal metric of volume in a suitable sense in the conformal class. The problem is reduced to solve a Pucci type equation with respect to the Schouten tensor. We establish a local gradient estimate for this… CONTINUE READING

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed