Work

Geometry of Almost Pure Metric Pseudo-F-Manifolds: Insights from Walker 4-Manifolds

Year: 2026

Type: article

Abstract: This article investigates the geometric and structural properties of almost pure metric pseudo-F-manifolds, with a focus on Walker 4-manifolds. We analyze integrability conditions and characterize pure metric pseudo-F-Kählerian Walker manifolds, identifying criteria under which the Riemann curvature tensor vanishes. The study also examines the existence of Killing vector fields and Ricci soliton structures. In particular, we show that integrability conditions for almost pure metric pseudo-F-structures are governed by partial differential equations and highlight the role of constant functions in defining pure metric pseudo-F-Kählerian properties. Additionally, we investigate special connections with torsion that preserve certain tensor structures, exploring their relationship to Codazzi pairs and the conditions necessary for torsion-freeness.

Source: Mathematics

DOI: 10.3390/math14091538

Authors: Yanlin Li, Cagri Karaman, Aydin Gezer, Sibel Turanli, Yuquan Xie

Institutions: Hangzhou Normal University, Atatürk University, Erzurum Technical University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7160031490

FWCI: 3.121

Cites: 19

Cited by: 1

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