On Multiplier Hermitian Structures on Compact Kahler Manifolds

Details On Multiplier Hermitian Structures on Compact Kahler Manifolds On Multiplier Hermitian Structures on Compact Kahler Manifolds

2007-04-20

arxiv.org/abs/0704.2646v2

Mathematics

Differential Geometry

Minor change made at the end of the section 1

Scientific paper

Mabuchi introduced multiplier Hermitian structures on compact Kahler
manifolds and defined metrics similar to Kahler-Einstein metrics under these
structures. In this note we generalize the inequality of Moser-Trudinger type
on Kahler-Einstein manifolds to this case.

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