ALMOST COMPLEX STRUCTURES ON THE TENSOR BUNDLES

GEZER A., SALIMOV A.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.33, ss.283-296, 2008 (SCI-Expanded) identifier identifier

  • 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.