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Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 3

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

Mircea CRASMAREANU
Cristian IDA
Pages
322–334
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quadratic endomorphism · almost $F$-analytic form · $F$-symmetric form

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.

Özet

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.

🔖

Cite This Article

CRASMAREANU, M., IDA, C. (2022). Almost analytic forms with respect to a quadratic endomorphism and their cohomology. Turkish Journal of Mathematics, Cilt: 39 - Sayı: 3, 322–334. https://ajindex.com/articles/608228

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