English

Monotonicity and Kaehler-Ricci flow

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Abstract

We show a connection between the linear trace Li-Yau-Hamilton inequality for the Kaehler-Ricci flow and the monotonicity formula for the positive currents. As an application of the linear trace Li-Yau-Hamilton stated in this paper and the one proved by Chow-Hamiltonm, we give another proof on the classification of the limit solutions of the Kaehler-Ricci (Ricci) flow.

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Cite

@article{arxiv.math/0211214,
  title  = {Monotonicity and Kaehler-Ricci flow},
  author = {Lei Ni},
  journal= {arXiv preprint arXiv:math/0211214},
  year   = {2007}
}

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17 pages