On the Geometry of the (1,1)-Tensor Bundle with Sasaki Type Metric

SALIMOV A., GEZER A.

CHINESE ANNALS OF MATHEMATICS SERIES B, cilt.32, sa.3, ss.369-386, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s11401-011-0646-3
  • Dergi Adı: CHINESE ANNALS OF MATHEMATICS SERIES B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.369-386
  • Anahtar Kelimeler: Tensor bundle, Sasaki metric, Vertical and horizontal lift, B-manifold, TENSOR BUNDLES, MANIFOLD
  • Atatürk Üniversitesi Adresli: Evet

Özet

Curvature properties are studied for the Sasaki metric on the (1, 1) tensor bundle of a Riemannian manifold. As an application, examples of almost para-Nordenian and para-Kahler-Nordenian B-metrics are constructed on the (1, 1) tensor bundle by looking at the Sasaki metric. Also, with respect to the para-Nordenian B-structure, paraholomorphic conditions for the complete lifts of vector fields are analyzed.