Turkish Journal of Mathematics
Abstract
We study semislant submersions whose total manifolds are locally conformal Kähler manifolds. We provide conditions for the total geodesicity and integrability of the distributions involved in the definition. Next, we establish a condition under which such a submersion is a Clairaut submersion. Finally, we obtain some optimal inequalities for a semislant submersion whose total manifold is Hopf space form.
DOI
10.55730/1300-0098.3617
Keywords
Locally conformal Kähler manifold, Hopf space form, semislant submersion, vertical distribution, horizontal distribution
First Page
677
Last Page
694
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ÇİMEN, Ç, & TAŞTAN, H. M (2025). The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds. Turkish Journal of Mathematics 49 (5): 677-694. https://doi.org/10.55730/1300-0098.3617
