Energy functionals and Kähler-Ricci solitons

Details Energy functionals and Kähler-Ricci solitons Energy functionals and Kähler-Ricci solitons

2009-06-30

arxiv.org/abs/0906.5522v1

Mathematics

Differential Geometry

18 pages

Scientific paper

In this paper, we generalize Chen-Tian energy functionals to K\"ahler-Ricci
solitons and prove that the properness of these functionals is equivalent to
the existence of K\"ahler-Ricci solitons. We also discuss the equivalence of
the lower boundedness of these functionals and their relation with Tian-Zhu's
holomorphic invariant.

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