Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

Beri A., Erken I. K., MURATHAN C.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.3, ss.540-552, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1504-47
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.540-552
  • Anahtar Kelimeler: Riemannian submersion, conformal submersion,Warped product, Kenmotsu manifold, Anti-invariant Riemannian submersion, HERMITIAN-MANIFOLDS, SLANT SUBMERSIONS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated. We proved the nonexistence of (anti-invariant) Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds such that the characteristic vector field xi is a vertical vector field. We gave a method to get horizontally conformal submersion examples from warped product manifolds onto Riemannian manifolds. Furthermore, we presented an example of anti-invariant Riemannian submersions in the case where the characteristic vector field xi is a horizontal vector field and an anti-invariant horizontally conformal submersion such that is a vertical vector field.