Anti-invariant Riemannian submersions from nearly Kaehler manifolds | Zendy

S. Ali | Zendy; Tanveer Fatima | Zendy

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Anti-invariant Riemannian submersions from nearly Kaehler manifolds

Author(s) -

S. Ali,

Tanveer Fatima

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1307219a

Subject(s) - submersion (mathematics) , mathematics , riemannian submersion , invariant (physics) , totally geodesic , pure mathematics , geodesic , integrable system , distribution (mathematics) , mathematical analysis , manifold (fluid mechanics) , hermitian manifold , geometry , mathematical physics , ricci curvature , mechanical engineering , curvature , differentiable function , engineering

We extend the notion of anti-invariant and Langrangian Riemannian submersion to the case when the total manifold is nearly Kaehler. We obtain the integrability conditions for the horizontal distri- bution while it is noted that the vertical distribution is always integrable. We also investigate the geometry of the foliations of the two distributions and obtain the necessary and sufficient condition for a Langrangian submersion to be totally geodesic. The decomposition theorems for the total manifold of the submersion are obtained.

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