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- Title
Conformal semi-slant submersions.
- Authors
Akyol, Mehmet Akif
- Abstract
Park and Prasad [Semi-slant submersions, Bull. Korean Math. Soc. 50(3) (2013) 951-962.] defined and studied semi-slant submersions as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions. As a generalization of semi-slant submersions, we introduce conformal semi-slant submersions and study the new submersions from almost Hermitian manifolds onto Riemannian manifolds. We study the integrability of ditributions and the geometry of leaves of a conformal submersion. Moreover, we show that there are certain product structures on base manifold of a conformal semi-slant submersion. We also obtain totally geodesic conditions for such maps. Finally, we give lots of examples.
- Subjects
RIEMANNIAN submersions; SUBMERSIONS (Mathematics); KAHLERIAN manifolds; HERMITIAN operators; GEODESICS
- Publication
International Journal of Geometric Methods in Modern Physics, 2017, Vol 14, Issue 7, p-1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887817501146