Horizontal lift problems in a pull-back bundle of tensor bundles defined by projection of the cotangent bundles

YILDIRIM F.

Tbilisi Mathematical Journal, cilt.14, sa.3, ss.71-79, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.32513/tmj/19322008143
  • Dergi Adı: Tbilisi Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.71-79
  • Anahtar Kelimeler: vector field, horizontal lift, pull-back bundle, cotangent bundle, semi-tensor bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

Using projection (submersion) of the cotangent bundle T*M over a manifold M, we define a semi-tensor (pull-back) bundle tM of type (p,q). The purpose of this paper is to investigate horizontal lifts of vector fields in a special class of semi-tensor (pull-back) bundle tM of type (p,q).