- Turkish Journal of Mathematics
- Vol: 39 Issue: 3
- Almost analytic forms with respect to a quadratic endomorphism and their cohomology
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
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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