Conformal slant riemannian maps to kähler manifolds

Akyol M. A., Şahin B.

Tokyo Journal of Mathematics, cilt.42, sa.1, ss.225-237, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3836/tjm/1502179277
  • Dergi Adı: Tokyo Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.225-237
  • Anahtar Kelimeler: Conformal slant Riemannian map, Harmonic map, Kähler manifold, Slant Riemannian map, Slant submanifold, Totally geodesic map
  • Uşak Üniversitesi Adresli: Hayır

Özet

As a generalization of slant submanifolds and slant Riemannian maps, we introduce conformal slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry of foliations and obtain decomposition theorems by using the existence of conformal Riemannian maps. Moreover, we also investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal slant Riemannian maps to be totally geodesic.