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Certain curves along Riemannian submersions

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dc.creator Tükel, Gözde Özkan
dc.creator Şahin, Bayram
dc.creator TURHAN, Tunahan
dc.date 2023-01-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:34:57Z
dc.date.available 2025-02-25T10:34:57Z
dc.identifier 9c333d71-b099-4f42-8fae-148d03101728
dc.identifier 10.2298/fil2303905o
dc.identifier https://avesis.sdu.edu.tr/publication/details/9c333d71-b099-4f42-8fae-148d03101728/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100714
dc.description © 2023, University of Nis. All rights reserved.In this paper, when a given curve on the total manifold of a Riemannian submersion is transferred to the base manifold, the character of the corresponding curve is examined. First, the case of a Frenet curve on the total manifold being a Frenet curve on the base manifold along a Riemannian submersion is investigated. Then, the condition that a circle on the total manifold (respectively a helix) is a circle (respectively, a helix) or a geodesic on the base manifold along a Riemannian submersion is obtained. We also investigate the curvatures of the original curve on the total manifold and the corresponding curve on the base manifold in terms of Riemannian submersions.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Certain curves along Riemannian submersions
dc.type info:eu-repo/semantics/article


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