On Quasistatistical F-Connections on the Anti-Kähler Manifolds

Cagri Karaman, Aydin Gezer, Mohammad Nazrul Islam Khan and Zuhre Topuz

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: The paper focuses on investigating a specific type of quasistatistical F-connections within the context of an anti-Kähler manifold. Initially, the paper establishes a connection between the Riemannian connection and the specialized quasistatistical F-connection. Following the establishment of this connection, the paper examines the forms of the curvature tensor, the Ricci curvature tensor, and the scalar curvature for the connection. It also explores the specific conditions under which the torsion tensor and curvature tensor fields associated with the quasistatistical F-connection exhibit holomorphic properties. Furthermore, the paper examines URic-vector fields with respect to these connections and delivers relevant outcomes associated with them. This analysis provides valuable insights into the behavior and properties of URic-vector fields within the considered framework. Finally, a concrete example on an anti-Kähler–Walker manifold is presented, showing that the holomorphy conditions reduce to partial differential equations and that a harmonic potential on the parallel null distribution induces an explicitly computable quasistatistical F-connection.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/3168677.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/3168677.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3168677

DOI: 10.1155/jom/3168677

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().