eta-RICCI SOLITONS IN (epsilon)-ALMOST PARACONTACT METRIC MANIFOLDS


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Blaga A. M. , Perktas S. Y. , Acet B. E. , ERDOĞAN F. E.

GLASNIK MATEMATICKI, cilt.53, ss.205-220, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 53 Konu: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3336/gm.53.1.14
  • Dergi Adı: GLASNIK MATEMATICKI
  • Sayfa Sayıları: ss.205-220

Özet

The object of this paper is to study eta-Ricci solitons on (epsilon)-almost paracontact metric manifolds. We investigate eta-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field xi of the (epsilon)-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and (epsilon)-para Sasakian manifolds admitting eta-Ricci solitons. Finally we obtain some results for eta-Ricci solitons on (epsilon)-almost paracontact metric manifolds with a special view towards parallel symmetric (0, 2)-tensor fields.