Circles along a Riemannian map and Clairaut Riemannian maps
Bull. Korean Math. Soc. 2017 Vol. 54, No. 1, 253-264
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.
Keywords : Riemannian map, circle, Clairaut submersion, Clairaut Riemannian map
MSC numbers : 53C42, 53C20
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