The curvature tensor of -contact metric manifolds

ARSLAN K., Carriazo A., Martin-Molina V., MURATHAN C.

MONATSHEFTE FUR MATHEMATIK, cilt.177, sa.3, ss.331-344, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 177 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00605-015-0762-3
  • Dergi Adı: MONATSHEFTE FUR MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.331-344
  • Anahtar Kelimeler: (kappa, mu, nu)-contact metric manifold, Generalized (kappa, mu, nu)-space form, Contact metric manifold, D-a-homothetic deformation, Conformal flatness, (KAPPA, FORMS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We study the Riemann curvature tensor of -contact metric manifolds, which we prove to be completely determined in dimension 3. We also observe how this curvature tensor is affected by -homothetic deformations, which will prompt the definition and study of generalized -space forms and of the necessary and sufficient conditions for them to be conformally flat.