English

On the K\"ahler-Ricci flow on complex surfaces

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Abstract

It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the K\"ahler-Ricci flow, under the additional assumption that the sum of the two lowest eigenvalues of the traceless curvature operator is non-negative.

Keywords

Cite

@article{arxiv.math/0407232,
  title  = {On the K\"ahler-Ricci flow on complex surfaces},
  author = {D. H. Phong and Jacob Sturm},
  journal= {arXiv preprint arXiv:math/0407232},
  year   = {2007}
}

Comments

8 pages, LaTex file