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arXiv · 2105.10119

Isotropic Riemannian Maps and Helices along Riemannian Maps

Gözde Özkan Tükel·Bayram Şahin·Tunahan Turhan
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Abstract

This work has two main purposes. The first aim is to study isotropic Riemannian maps as a generalization of isotropic immersions. For this purpose, the concept of isotropic Riemannian map is presented, an example is given and a characterization is obtained. The second aim is to study the helices along Riemannian map. For this purpose, by using the notion of isotropic Riemannian map and the notion of helix on the manifold, a characterization is obtained for the transportation of a helix on the total manifold to the target manifold along a Riemannian map.

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Gözde Özkan Tükel, Bayram Şahin, Tunahan Turhan. 2021-05-21. Isotropic Riemannian Maps and Helices along Riemannian Maps. https://arxiv.org/abs/2105.10119

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