Mabuchi and Aubin-Yau functionals over complex manifolds

Details Mabuchi and Aubin-Yau functionals over complex manifolds Mabuchi and Aubin-Yau functionals over complex manifolds

2010-04-05

arxiv.org/abs/1004.0553v1

Mathematics

Differential Geometry

47 pages

Scientific paper

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.

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