ON RIEMANNIAN SEQUENTIAL WARPED PRODUCT SUBMERSIONS

Abstract

As a natural generalization of Riemannian warped
product submersions, we introduce the idea of Riemannian sequen
tial warped product submersions in this paper and study some
fundamental properties like totally geodesic, totally umbilical and
minimality. Further, we work with characterization of geodesic
for Riemannian sequential warped product submersions and study
conformal and killing vector fields for that submersions.