TY - JOUR
AU - Fatima, Tanveer
AU - Ali, Shahid
PY - 2013/12/30
Y2 - 2022/09/27
TI - Generic Riemannian submersions
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 44
IS - 4
SE - Papers
DO - 10.5556/j.tkjm.44.2013.1211
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1211
SP - 395-409
AB - 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.
ER -