Turkish Journal of Mathematics
DOI
10.3906/mat-1504-47
Abstract
The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated. We proved the nonexistence of (anti-invariant) Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds such that the characteristic vector field $\xi $ is a vertical vector field. We gave a method to get horizontally conformal submersion examples from warped product manifolds onto Riemannian manifolds. Furthermore, we presented an example of anti-invariant Riemannian submersions in the case where the characteristic vector field $\xi $ is a horizontal vector field and an anti-invariant horizontally conformal submersion such that $\xi $ is a vertical vector field.
Keywords
Riemannian submersion, conformal submersion, Warped product, Kenmotsu manifold, Anti-invariant Riemannian submersion
First Page
540
Last Page
552
Recommended Citation
BERİ, AYŞE; ERKEN, İREM KÜPELİ; and MURATHAN, CENGİZHAN
(2016)
"Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds,"
Turkish Journal of Mathematics: Vol. 40:
No.
3, Article 5.
https://doi.org/10.3906/mat-1504-47
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss3/5
