Pointwise Slant Riemannian Maps from Sasakian Manifolds with Vertical Reeb Vector Field ξ

DEMİR R., YILDIRIM C.

Mediterranean Journal of Mathematics, cilt.22, sa.8, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 8
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s00009-025-02980-6
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: contact metric manifolds, pointwise slant Riemannian maps, Riemannian maps, Sasakian manifolds
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, as a generalization of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps, we introduce pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds (ξ∈Γ(kerF∗)), and present examples and characterizations. On the other hand, we investigate the geometry of foliations which are arisen from the definition of a pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds and obtain decomposition theorems by using the existence of maps of this such.