CERTAIN CURVATURE CONDITIONS ON AN LP-SASAKIAN MANIFOLD WITH A COEFFICIENT alpha

De U. C., ARSLAN K.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.46, sa.3, ss.401-408, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.4134/bkms.2009.46.3.401
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.401-408
  • Anahtar Kelimeler: Lorentzian Para-Sasakian manifold with a coefficient alpha, manifold of constant curvature
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The object of the present paper is to study certain curvature restriction on an LP-Sasakian manifold with a coefficient a. Among others it is shown that if an LP-Sasakian manifold with a coefficient, a is a manifold of constant curvature, then the manifold is the product manifold. Also it is proved that a 3-dimensional Ricci semisymmetric LP-Sasakian manifold with a constant coefficient a is a spaceform.