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Summary
By use of a natural map introduced recently by the first and third authors from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the small differentiable deformation of this manifold, we will give a power series proof for Kodaira-Spencer's local stability theorem of Kahler structures. We also obtain two new local stability theorems, one of balanced structures on an n-dimensional balanced manifold with the (n - 1,n)th mild partial derivative(partial derivative) over bar -lemma by power series method and the other one on p-Kahler structures with the deformation invariance of (p,p)-Bott-Chern numbers.
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InstitutionWuhan University
