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http://dx.doi.org/10.4134/BKMS.b160082

CIRCLES ALONG A RIEMANNIAN MAP AND CLAIRAUT RIEMANNIAN MAPS  

Sahin, Bayram (Inonu University Department of Mathematics)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 253-264 More about this Journal
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;
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