Riemannian submersions whose total manifolds admit a Ricci soliton


MERİÇ Ş. E. , KILIÇ E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.16, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 12
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s0219887819501962
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Özet

In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which the target manifold of Riemannian submersion is a Ricci soliton. Moreover, we study the harmonicity of Riemannian submersion from Ricci soliton and give a characterization for such a submersion to be harmonic.