Semi-cotangent bundle and problems of lifts

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YILDIRIM F., SALIMOV A.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.2, ss.325-339, 2014 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1306-46
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.325-339
  • Anahtar Kelimeler: Vector field, complete lift, basic 1-form, semi-cotangent bundle
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Atatürk Üniversitesi Adresli: Evet

Özet

Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t*B, which has a degenerate symplectic structure. We consider lifting problem of projectable geometric objects on M to the semi-cotangent bundle. Relations between lifted objects and a degenerate symplectic structure are also presented.