Semi-invariant semi-Riemannian submersions

Authors : Mehmet Akif AKYOL, Yılmaz GÜNDÜZALP

Pages : 80-92

Doi:10.1501/Commua1_0000000832

View : 14 | Download : 4

Publication Date : 2018-02-01

Article Type : Research Paper

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 manifold
Keywords : Para Kähler manifold, semi Riemannian submersion, anti invariantsemi Riemannian submersion, semi invariant semi Riemannian submersion