Extension formulae on almost complex manifolds

Abstract

We give the extension formulae on almost complex manifolds and give decompositions of the extension formulae. As applications, we study $(n,0)$-forms, the $(n,0)$-Dolbeault cohomology group and $(n,q)$-forms on almost complex manifolds.

a new subsection about $(n,q)$-forms added, some typos revised, no change in mathematical content. This paper has been accepted for publication in SCIENCE CHINA Mathematics

References in corpus (1)

• Extension formulas and deformation invariance of Hodge numbers

Cited by in corpus (1)

• Derivations on almost complex manifolds