English

On the l-Function and the Reduced Volume of Perelman I

Differential Geometry 2007-05-23 v2

Abstract

The main purpose of this paper is to present a number of analytic and geometric properties of the ll-function and the reduced volume of Perelman, including in particular the monotonicity, the upper bound and the rigidities of the reduced volume.

Keywords

Cite

@article{arxiv.math/0609320,
  title  = {On the l-Function and the Reduced Volume of Perelman I},
  author = {Rugang Ye},
  journal= {arXiv preprint arXiv:math/0609320},
  year   = {2007}
}

Comments

This paper has been available at the author's website. We post it here to make it easier to access. To appear in Transactions of American Mathematical Society