ISOTROPIC RIEMANNIAN MAPS AND HELICES ALONG RIEMANNIAN MAPS
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.84, no.4, pp.89-100, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 84 Issue: 4
- Publication Date: 2022
- Journal Name: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.89-100
- Keywords: isotropic Riemannian map, Riemannian map, helix, umbilical map, Riemannian manifold, GENERAL HELICES
- Süleyman Demirel University Affiliated: Yes
Abstract
© 2022, Politechnica University of Bucharest. All rights reserved.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.