Circles along a Riemannian map and Clairaut Riemannian maps
Bull. Korean Math. Soc. 2017 Vol. 54, No. 1, 253-264 https://doi.org/10.4134/BKMS.b160082 Published online January 12, 2017 Printed January 31, 2017
Bayram \c{S}ahin Ege University
Abstract : We first extend Yano-Nomizu's theorem, which characterizes extrinsic spheres in a Riemannian manifold, for Riemannian maps. Then we introduce Clairaut Riemannian maps, give an example and obtain necessary and sufficient conditions for a Riemannian map to be Clairaut type.
