ISOTROPIC RIEMANNIAN MAPS AND HELICES ALONG RIEMANNIAN MAPS

ÖZKAN TÜKEL G., Şahin B., TURHAN T.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.84, no.4, pp.89-100, 2022 (SCI-Expanded, Scopus) identifier

  • 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: 53A04, 53B21, helix, isotropic Riemannian map, MSC2020: 53B20, Rie-mannian manifold, Riemannian map, umbilical map
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

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.