Semi-invariant semi-Riemannian submersions | Zendy

AKYOL Mehmet Akif GÜNDÜZALP | Zendy

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Semi-invariant semi-Riemannian submersions

Author(s) -

AKYOL Mehmet Akif GÜNDÜZALP

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000832

Subject(s) - riemannian submersion , mathematics , totally geodesic , pure mathematics , curvature of riemannian manifolds , invariant (physics) , submersion (mathematics) , exponential map (riemannian geometry) , sectional curvature , riemannian geometry , manifold (fluid mechanics) , curvature , ricci flat manifold , mathematical analysis , scalar curvature , geometry , mathematical physics , differentiable function , mechanical engineering , engineering

In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kahler 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

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