Characterizations of Riemannian maps between Kaehler manifolds by certain curves

TURHAN T., ÖZKAN TÜKEL G., Şahin B.

Publicationes Mathematicae Debrecen, cilt.105, sa.1-2, ss.39-58, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105 Sayı: 1-2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.5486/pmd.2024.9635
  • Dergi Adı: Publicationes Mathematicae Debrecen
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.39-58
  • Anahtar Kelimeler: isotropic Riemannian map, Kaehler circle, Kaehler Frenet curve, Kaehler manifolds, second fundamental form
  • Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet

Özet

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.