A new characterization of globally conformal Kenmotsu manifolds and Lagrangian submersions
Turkish Journal of Mathematics, cilt.50, sa.4, ss.690-708, 2026 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.55730/1300-0098.3676
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM), Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.690-708
- Anahtar Kelimeler: globally conformal structure, Kenmotsu manifold, Lagrangian submersion, Riemannian submersion
- İstanbul Üniversitesi Adresli: Evet
Özet
We give a characterization theorem for a globally conformal Kenmotsu manifold with an illustrative example. Then we study Riemannian, antiinvariant and Lagrangian submersions from globally conformal Kenmotsu manifolds. Initially, we show that the gradient vector field of the conformal transformation and the Lee vector field of the total manifold of a Riemannian submersion is horizontal when the characteristic vector field is a horizontal vector field. We give necessary and sufficient conditions for the integrability and totally geodesicness of vertical and horizontal distributions of antiinvariant and Lagrangian submersions whose total manifolds are globally conformal Kenmotsu. We also give a necessary and sufficient condition for the harmonicity of an antiinvariant Riemannian submersion whose total manifold is globally conformal Kenmotsu. Finally, we study the condition for a curve in a Lagrangian submersion whose total manifold is globally conformal Kenmotsu to be geodesic, and derive a criterion for such submersions to be Clairaut submersions. In that case, we show that if the dimension of the base manifold is at least two less than the dimension of the total manifold, then the characteristic vector field must be horizontal.