EINSTEIN CONDITIONS FOR THE BASE SPACE OF ANTI-INVARIANT RIEMANNIAN SUBMERSIONS AND CLAIRAUT SUBMERSIONS


Lee J., Park J., Sahin B., Song D.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.19, sa.4, ss.1145-1160, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.11650/tjm.19.2015.5283
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1145-1160
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we study the geometry of anti-invariant Riemannian submersions from a Kahler manifold onto a Riemannian manifold. We first determine the base space when the total space of an anti-invariant Riemannian submersion is Einstein and then we investigate new conditions for anti-invariant Riemannian submersions to be Clairaut submersions. We also focus on the geometry of Clairaut anti-invariant submersions.