φ−pluriharmonicity and φ−invariance of pointwise bislant Riemannian submersions

Light G., Sayar C., Akyol M. A.

Turkish Journal of Mathematics, vol.48, no.5, pp.874-890, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.55730/1300-0098.3546
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.874-890
  • Keywords: geodesic, harmonic, integrable, pluriharmonicity, pointwise slant distribution, Riemannian submersion
  • Uşak University Affiliated: No

Abstract

In this research, we investigate the intriguing realm of pointwise bislant Riemannian submersions, a generalization of many previous submersions, such as antiinvariant, slant, semislant, pointwise slant, pointwise semislant, and bislant submersions, within the framework of almost product manifolds. After giving an original example, we delve into the submersion’s integrability conditions and geodesics. We explore the concept of φ−pluriharmonicity and φ−invariance within this context. The study sheds light on the profound interplay between pointwise bislant submersions’ fibers and their being either geodesic or mixed geodesic, offering valuable insights into these intriguing mappings’ geometric properties.