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.
Weyl structure, Ricci soliton, Sasaki metric
BEJAN, CORNELIA-LIVIA; MERİÇ, ŞEMSİ EKEN; and KILIÇ, EROL
"Gradient Weyl-Ricci Soliton,"
Turkish Journal of Mathematics: Vol. 44:
4, Article 5.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/5