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- Title
Paracontact semi-Riemannian submersions.
- Authors
GÜNDÜZALP, Yılmaz; ŞAHİN, Bayram
- Abstract
In this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold. The study is focused on fundamental properties and the transference of structures defined on the total manifold. Moreover, we obtain various properties of the O'Neill's tensors for such submersions and find the integrability of the horizontal distribution. We also find necessary and sufficient conditions for a paracontact semi-Riemannian submersion to be totally geodesic. Finally, we obtain curvature relations between the base manifold and the total manifold.
- Subjects
RIEMANNIAN submersions; RIEMANNIAN geometry; SUBMERSIONS (Mathematics); MANIFOLDS (Mathematics); DISTRIBUTION (Probability theory); CURVATURE
- Publication
Turkish Journal of Mathematics, 2013, Vol 37, Issue 1, p114
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1103-10