Mabuchi and Aubin-Yau functionals over complex manifolds
classification
🧮 math.DG
keywords
complexfunctionalsaubin-yaucitemabuchimanifoldsauthorbigger
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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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