A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons


Ghosh S., De U. C., YILDIZ A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.3, ss.770-777, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.785628
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.770-777
  • Anahtar Kelimeler: almost quasi-Yamabe solitons, gradient almost quasi-Yamabe solitons, Kenmotsu manifolds, CLASSIFICATION
  • İnönü Üniversitesi Adresli: Evet

Özet

In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasiYamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field W then the manifold is of constant sectional curvature -1, but the converse is not true has been shown by a concrete example, under the restriction phi W not equal 0. Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.