Gradient Weyl-Ricci Soliton

Authors: CORNELIA-LIVIA BEJAN, ŞEMSİ EKEN MERİÇ, EROL KILIÇ

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.

Keywords: Weyl structure, Ricci soliton, Sasaki metric

Full Text: PDF