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Turkish Journal of Mathematics

Author ORCID Identifier

CEM SAYAR: 0000-0002-8339-4396

GRAYSON LIGHT: 0009-0009-7314-1246

MEHMET AKİF AKYOL: 0000-0003-2334-6955

DOI

10.55730/1300-0098.3546

Abstract

In this research, we investigate the intriguing realm of pointwise bislant Riemannian submersions, a generalizationof 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, wedelve into the submersion’s integrability conditions and geodesics. We explore the concept of φ−pluriharmonicity andφ−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.

Keywords

Riemannian submersion, pluriharmonicity, harmonic, pointwise slant distribution, geodesic, integrable

First Page

874

Last Page

890

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Included in

Mathematics Commons

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