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2024/105/1-2 (3) — DOI: 10.5486/PMD.2024.9635 — pp. 39-58

Characterizations of Riemannian maps between Kaehler manifolds by certain curves

Authors: Tunahan Turhan Orcid.org link for Tunahan Turhan, Gözde Özkan Tükel Orcid.org link for  Gözde Özkan Tükel and Bayram Şahin Orcid.org link for Bayram Şahin

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.

Keywords: Kaehler manifolds, Kaehler Frenet curve, Kaehler circle, second fundamental form, isotropic Riemannian map

Mathematics Subject Classification: 53C15, 53B20, 53C43