Cornelıa-lıvıa BEJAN, Şemsi Eken MERİÇ, Erol KILIÇ

Gradient Weyl-Ricci Soliton

The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structureofthebasemanifold M is lifted to its tangent bundle TM, by using the Sasaki metric. We give some necessary and sufficient conditions such that the Weyl structure on TM to be a gradient Weyl-Ricci soliton.

Keywords:

Weyl structure, Ricci soliton, Sasaki metric,

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