Article 2025 · 0 atıf

Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Aktas, Busra, Gezer, Aydin, Durmaz, Olgun

Özet

Let (M, g, del) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection del with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h, J ) on a quasi-statistical manifold that admit an almost complex structure J . Firstly, under certain conditions, we present the integrability of the almost complex structure J . We show that when d(del)J = 0 and the condition of torsion-compatibility are satisfied, (M, g, del, J ) turns into a Kahler manifold. Secondly, we give necessary and sufficient conditions under which (M, h, del, J ) is an anti-Kahler manifold, where h is an anti-Hermitian metric. Moreover, we search the necessary conditions for (M, h, del, J ) to be a quasi-Kahler-Norden manifold.

Anahtar Kelimeler

Quasi-statistical structure Hermitian metric anti-Hermitian metric Kahler manifold anti-Kahler manifold

WoS Kategorileri

Mathematics, Applied Mathematics

Künye

Dergi: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
Yıl: 2025
Cilt: 33
Sayı: 1
Sayfa: 5-32
ISSN: 1224-1784
eISSN: 1844-0835
DOI: 10.2478/auom-2025-0001
WoS UID: WOS:001459911000011

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