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arxiv: 1801.01031 · v3 · pith:XKW32YLFnew · submitted 2018-01-01 · 🧮 math.CV · math.DG

On local stabilities of p-K\"ahler structures

classification 🧮 math.CV math.DG
keywords ahlerlocalpartialstructuresdeformationsdifferentiableextensionlemma
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By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\"ahler structures with the $(p,p+1)$-th mild $\partial\bar\partial$-lemma under small differentiable deformations.

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