Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1404-29
Keywords
Quadratic endomorphism, almost $F$-analytic form, $F$-symmetric form, almost (para)complex structure, cohomology
First Page
322
Last Page
334
Recommended Citation
CRASMAREANU, M, & IDA, C (2015). Almost analytic forms with respect to a quadratic endomorphism and their cohomology. Turkish Journal of Mathematics 39 (3): 322-334. https://doi.org/10.3906/mat-1404-29
