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

作者：Crasmareanu Mircea; Ida Cristian^*

来源：Turkish Journal of Mathematics, 2015, 39(3): 322-334.

DOI：10.3906/mat-1404-29

• Quadratic endomorphism
• almost F-analytic form
• F-symmetric form
• almost (para)complex structure
• cohomology

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 Frolicher-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.

• 出版日期2015