Anti-invariant and Lagrangian submersions from trans-Sasakian manifolds
Balkan Journal of Geometry and Its Applications,, vol.25, no.2, pp.106-123, 2020 (Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 2
- Publication Date: 2020
- Journal Name: Balkan Journal of Geometry and Its Applications,
- Journal Indexes: Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), INSPEC, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.106-123
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul University Affiliated: Yes
Abstract
We study anti-invariant and Lagrangian submersions from
trans-Sasakian manifolds onto Riemannian manifolds. We prove that
the horizontal distributions of such submersions are not integrable and
their fibers are not totally geodesic. Consequently, they cannot be totally
geodesic maps. We also check that the harmonicity of such submersions.
In particular, we show that they cannot be harmonic in the case when the
Reeb vector field is horizontal.