Almost analytic forms with respect to a quadratic endomorphism and their cohomology

Authors : Mircea CRASMAREANU, Cristian IDA

Pages : 322-334

Doi:10.3906/mat-1404-29

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The goal of this paper is to consider the notion of almost analytic form in a unifying setting for both almost complex and almost paracomplex geometries. We use a global formalism, which yields, in addition to generalizations of the main results of the previously known almost complex case, a relationship with the Frölicher-Nijenhuis theory. A cohomology of almost analytic forms is also introduced and studied as well as deformations of almost analytic forms with pairs of almost analytic functions.
Keywords : Quadratic endomorphism, almost F analytic form, F symmetric form, almost para, complex structure, cohomology