NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

GEZER A., Altunbas M.

ACTA MATHEMATICA SCIENTIA, cilt.34, sa.1, ss.162-174, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/s0252-9602(13)60133-2
  • Dergi Adı: ACTA MATHEMATICA SCIENTIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.162-174
  • Anahtar Kelimeler: almost paracomplex structure, cotangent bundle, Golden structure, paraholomorphic tensor field, Riemannian curvature tensor, scalar curvature
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let (M, g) be an n-dimensional Riemannian manifold and T*M be its cotangent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compatible paracomplex structures on T*M. Second, we construct locally decomposable Golden Riemannian structures on T*M. Finally we investigate curvature properties of T*M.