On the Geometry of the (1,1)-Tensor Bundle with Sasaki Type Metric
CHINESE ANNALS OF MATHEMATICS SERIES B, cilt.32, sa.3, ss.369-386, 2011 (SCI-Expanded, Scopus)
- 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.