- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 67 Issue: 1
- Semi-invariant semi-Riemannian submersions
Semi-invariant semi-Riemannian submersions
Authors : Mehmet Akif Akyol, Yılmaz Gündüzalp
Pages : 80-92
Doi:10.1501/Commua1_0000000832
View : 10 | Download : 4
Publication Date : 2018-02-01
Article Type : Research
Abstract :In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kähler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions. We also find necessary and su¢ cient conditions for a semiinvariant semi-Riemannian submersion to be totally geodesic. Moreover, weobtain curvature relations between the base manifold and the total manifoldKeywords : Para-Kähler manifold, semi-Riemannian submersion, anti-invariantsemi-Riemannian submersion, semi-invariant semi-Riemannian submersion