The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds

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.

Authors

Publication Details

Journal
TURKISH JOURNAL OF MATHEMATICS
Published
2025-09-12
DOI
https://doi.org/10.55730/1300-0098.3617
Primary Topic
Geometry and complex manifolds
Type
article
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article

The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds

HAKAN METE TAŞTAN, Çağrıhan Çimen
TURKISH JOURNAL OF MATHEMATICS
Geometry and complex manifolds
article

The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds

HAKAN METE TAŞTAN, Çağrıhan Çimen
article en

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.

TURKISH JOURNAL OF MATHEMATICSVol. 49(5)
Openalex Percentile: Top 69%
Geometry and complex manifolds
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The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds — HAKAN METE TAŞTAN, Çağrıhan Çimen · TURKISH JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS