Gradient Weyl-Ricci Soliton

Authors

CORNELIA-LIVIA BEJAN
ŞEMSİ EKEN MERİÇ
EROL KILIÇ

DOI

10.3906/mat-1906-63

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

First Page

1137

Last Page

1145

Recommended Citation

BEJAN, CORNELIA-LIVIA; MERİÇ, ŞEMSİ EKEN; and KILIÇ, EROL (2020) "Gradient Weyl-Ricci Soliton," Turkish Journal of Mathematics: Vol. 44: No. 4, Article 5. https://doi.org/10.3906/mat-1906-63
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/5