RICCI SOLITONS IN 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS

Perktas S. Y., KELEŞ S.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.8, sa.2, ss.34-45, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.34-45
  • İnönü Üniversitesi Adresli: Evet

Özet

In the present paper we study 3-dimensional normal almost paracontact metric manifolds admitting Ricci solitons and gradient Ricci solitons. We give an example of 3-dimensional normal almost paracontact metric manifold. It is shown that if in a 3-dimensional normal almost paracontact metric manifold with alpha, beta = constant the metric is Ricci soliton, where potential vector field V is collinear with the characteristic vector field xi, then the manifold is eta-Einstein. We also prove that an eta-Einstein 3-dimensional normal almost paracontact metric manifold with alpha, beta = constant and V = xi admits a Ricci soliton. Furthermore, we show that if a 3-dimensional normal almost paracontact metric manifold admits a Ricci soliton (g, xi, lambda) then the Ricci soliton is shrinking.