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Dergiler / 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
Sayfa
322–334
Yayın Tarihi
2022-11-05
DOI
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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 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quadratic endomorphism · almost $F$-analytic form · $F$-symmetric form

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.

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.

🔖

Bu Makaleye Atıf Yap

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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Kaynakça (9)

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