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.
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