English

Mabuchi and Aubin-Yau functionals over complex manifolds

Differential Geometry 2010-04-06 v1

Abstract

In the previous papers \cite{L1, L2} the author constructed Mabuchi and Aubin-Yau functionals over any complex surfaces and three-folds, respectively. Using the method in \cite{L2}, we construct those functionals over any complex manifolds of the complex dimension bigger than or equal to 2.

Keywords

Cite

@article{arxiv.1004.0553,
  title  = {Mabuchi and Aubin-Yau functionals over complex manifolds},
  author = {Yi Li},
  journal= {arXiv preprint arXiv:1004.0553},
  year   = {2010}
}

Comments

47 pages

R2 v1 2026-06-21T15:06:21.054Z