Notes concerning Codazzi pairs on almost anti-Hermitian manifolds

DOI10.1007/s11766-023-4075-3zbMath1524.53150arXiv1911.06140OpenAlexW2988461093MaRDI QIDQ6109256

Hasan Cakicioglu, Aydin Gezer

Publication date: 27 July 2023

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06140

zbMATH Keywords

statistical structureconjugate connectionCodazzi pairtwin metricanti-Kähler structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• On the curvature of Kähler-Norden manifolds
• On operators associated with tensor fields
• Interaction of Codazzi couplings with (para-)Kähler geometry
• Analytic tensor and its generalization
• On Kähler-Norden manifolds
• Quasi-Kähler manifolds with a pair of Norden metrics
• (Para-)holomorphic and conjugate connections on (para-)Hermitian and (para-)Kähler manifolds
• Codazzi-equivalent affine connections
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