2021/05/21 by Gözde Özkan Tükel, Tükel, Gözde Özkan, Bayram Şahin +3
Mathematics · Medicine · #53B20 #53C42 #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:53B20 #msc:53C42
paper · pdf · doi:10.48550/arxiv.2105.10119
arxiv created 2021/05/21 · openalex publication_date 2021/05/21 · arxiv updated 2021/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.