ALMOST COMPLEX STRUCTURES ON THE TENSOR BUNDLES
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.33, ss.283-296, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33
- Basım Tarihi: 2008
- Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.283-296
- Anahtar Kelimeler: tensor bundle, complete lift, almost complex structure, pure cross-section, holomorphic tensor field
- Atatürk Üniversitesi Adresli: Evet
Özet
Let M be an n-dimensional differentiable manifold of class C(infinity), T(q)(p)(M) its tensor bundles of type (p,q). It is well known that the tensor bundle of type (1, q) of M admits an almost complex structure on the pure cross-section, if M admits an almost complex structure. The main purpose of this paper is to investigate a similar problem for tensor bundles T(q)(p)(M) of type (p,q), p > 1. We prove that if a manifold M admits an almost complex structure phi, then so does T(q)(p)(M), p > I on the pure cross-section provided phi is integrable. The proofs depend on some generalizations of the notions of lifting derivations.