Pointwise slant Riemannian maps from almost contact metric manifolds with horizontal reeb vector field

DEMİR R., YILDIRIM C.

Turkish Journal of Mathematics, cilt.49, sa.3, ss.340-358, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3593
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.340-358
  • Anahtar Kelimeler: almost contact metric manifolds, pointwise slant Riemannian maps, Riemannian maps, Sasakian manifolds
  • İnönü Üniversitesi Adresli: Evet

Özet

This paper introduces the notion of pointwise slant Riemannian maps, which extend the concept of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps. These maps are defined from almost contact metric manifolds to Riemannian manifolds with horizontal Reeb vektor field. Furthermore, we present examples and investigate the fundamental properties of such maps. Also, we explore the geometry of the foliations induced by pointwise slant Riemannian maps and establish decomposition theorems related to their existence.