On tangent bundles of Walker four-manifolds

Çayir H., Güler E., Köseoǧlu G.

Open Mathematics, vol.23, no.1, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1515/math-2025-0135
  • Journal Name: Open Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Keywords: complete lifts, integrability conditions, Norden metrics, proper almost complex structure, symbolic computation, Walker four-manifolds
  • Karadeniz Technical University Affiliated: No

Abstract

The aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts JC of the proper almost complex structure and identify the conditions for the isotropic Kähler-Norden property of the structure JC on (T (M4), JC, gC). Finally, we investigate the holomorphic conditions of the Norden (Kähler-Norden) metrics gC and discuss Quasi-Kähler-Norden metrics gC on the tangent bundle (T (M4), φC, gC) of Walker four-manifolds.