Characterizations of Riemannian maps between Kaehler manifolds by certain curves

TURHAN T., ÖZKAN TÜKEL G., Şahin B.

Publicationes Mathematicae Debrecen, vol.105, no.1-2, pp.39-58, 2024 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 105 Issue: 1-2
  • Publication Date: 2024
  • Doi Number: 10.5486/pmd.2024.9635
  • Journal Name: Publicationes Mathematicae Debrecen
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.39-58
  • Keywords: isotropic Riemannian map, Kaehler circle, Kaehler Frenet curve, Kaehler manifolds, second fundamental form
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

Riemannian maps between Kaehler manifolds are studied with respect to certain curves. For this purpose, the geometric properties of the Riemannian maps themselves, the total manifold and the base manifold are investigated depending on the behavior of the geodesic, circle and Kaehler Frenet curves on the total manifold under Riemannian maps.