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Circles along a Riemannian map and Clairaut Riemannian maps

Bayram Sahin
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회보 (Bulletin of the KMS)|제54권 제1호|pp. 253-264

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참고문헌

키워드

circleRiemannian mapClairaut submersionClairaut Riemannian map
주제분류수학

초록

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.

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.

참고문헌 (27)

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