Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1
SEMI-INVARIANT SEMI-RIEMANNIAN SUBMERSIONS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 80–92
- DOI
- —
Abstract
In this paper, we introduce semi-invariant semi-Riemannian sub-mersions 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 sufficient conditions for a semi-invariant semi-Riemannian submersion to be totally geodesic. Moreover, weobtain curvature relations between the base manifold and the total manifold.