Abstract

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.

DOI

10.3906/mat-1906-63

Keywords

Weyl structure, Ricci soliton, Sasaki metric

First Page

1137

Last Page

1145

Recommended Citation

BEJAN, C, MERİÇ, Ş. E, & KILIÇ, E (2020). Gradient Weyl-Ricci Soliton. Turkish Journal of Mathematics 44 (4): 1137-1145. https://doi.org/10.3906/mat-1906-63

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