Semi-invariant semi-Riemannian submersions

Yıl 2018, Cilt: 67 Sayı: 1, 80 - 92, 01.02.2018

Mehmet Akif Akyol Yılmaz Gündüzalp

https://doi.org/10.1501/Commua1_0000000832

Cited By: 4

Öz

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

Anahtar Kelimeler

Para-Kähler manifold, semi-Riemannian submersion, anti-invariantsemi-Riemannian submersion, semi-invariant semi-Riemannian submersion

Kaynakça

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• Current address : Mehmet Akif Akyol: Department of Mathematics, Bingöl University 12000, Bingöl TURKEY