ISOTROPIC RIEMANNIAN MAPS AND HELICES ALONG RIEMANNIAN MAPS

This work has two main aims. The first aim is to study isotropic Riemannian maps as a generalization of isotropic immersions. The notion 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. By using the notion of isotropic Riemannian map and helices on the manifold, a characterization is obtained for the transportation of helices on the total manifold to the target manifold along a Riemannian map. © 2022, Politechnica University of Bucharest. All rights reserved.