Pointwise bi-slant Riemannian maps (PBSRM) from almost Hermitian manifolds

AKYOL M. A., Gündüzalp Y.

Filomat, cilt.39, sa.13, ss.4441-4458, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 13
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2513441a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4441-4458
  • Anahtar Kelimeler: Bi-slant Riemannian map, Bi-slant submersion, Hermitian manifold, point-wise bi-slant Riemannian map, Riemannian map, slant Riemannian map
  • Uşak Üniversitesi Adresli: Evet

Özet

In 2022, the notion of pointwise slant Riemannian maps were introduced by Y. Gündüzalp and M. A. Akyol (Journal of Geometry and Physics, 179, 104589, 2022) as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds. As a generalization of pointwise slant Riemannian maps and many subclasses notions, we introduce pointwise bi-slant Riemannian maps (briefly, PBSRM) from almost Hermitian manifolds to Riemannian manifolds, giving a non-trivial (proper) example and investigate some properties of the map, we deal with their properties: the J-pluriharmonicity, the J-invariant, and the totally geodesicness of the map. Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for PBSRM, respectively.