Affiliation:
1. Department of Mathematics, Faculty of Science, Mersin University, Mersin, Turkey
Abstract
In this paper, we study a Golden Riemannian submersion between Golden
Riemannian manifolds. Here, we investigate the geometric properties of such
a submersion and obtain some results. Also, we study the relations between
the Ricci curvatures of any fibre, base and target manifolds of Golden
Riemannian submersion and using these relations obtain two sharp
inequalities. Moreover, we give some characterizations of Golden Riemannian
submersion whose total space admits a Ricci soliton with the horizontal or
vertical potential field. Finally, we construct some examples of Golden
Riemannian submersions.
Publisher
National Library of Serbia
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