Geodesic
Golden Riemannian submersions
Filomat, Tome 37 (2023) no. 17, p. 5659

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DOI

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.
DOI : 10.2298/FIL2317659M
Classification : 53C15, 53C25
Keywords: Riemannian submersion, Golden structure, Ricci soliton, Riemannian manifold 
Semsi Eken Meriç. Golden Riemannian submersions. Filomat, Tome 37 (2023) no. 17, p. 5659 . doi: 10.2298/FIL2317659M
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     author = {Semsi Eken Meri\c{c}},
     title = {Golden {Riemannian} submersions},
     journal = {Filomat},
     pages = {5659 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317659M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317659M/}
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