Gradient Weyl-Ricci Soliton


Bejan C., MERİÇ Ş. E. , KILIÇ E.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, ss.1137-1145, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1906-63
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1137-1145

Özet

The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structure of the base manifold 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.