Open AccessGeneric riemannian submersions
Author(s) -
Tanveer Fatima,
Shahid Ali
Publication year - 2013
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.44.2013.1211
Subject(s) - mathematics , riemannian submersion , submersion (mathematics) , totally geodesic , pure mathematics , hermitian manifold , generalization , riemannian manifold , invariant (physics) , geodesic , manifold (fluid mechanics) , mathematical analysis , ricci curvature , geometry , mathematical physics , differentiable function , curvature , mechanical engineering , engineering
B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generalization of anti-invariant Riemmanian submersions [11]. As a generalization to semi-invariant Riemannian submersions we introduce the notion of generic submersion from an almost Hermitian manifold onto a Riemannian manifold and investigate the geometry of foliations which arise from the definition of a generic Riemannian submersion and find necessary and sufficient condition for total manifold to be a generic product manifold. We also find necessary and sufficient conditions for a generic submersion to be totally geodesic