Semi-cotangent bundle and problems of lifts

Yıldırım, Furkan; Salımov, Arif

doi:10.3906/mat-1306-46

Makale Tam Makale Uluslararası 2014 Açık erişimli

Semi-cotangent bundle and problems of lifts

Furkan Yıldırım, Arif Salımov

Turkish Journal of Mathematics Cilt 38 · Sayı 2 · ss. 325–339 · 01.01.2014

DOI ile aç

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.

Anahtar kelimeler

Complete lift Vector field basic 1-form semi-cotangent bundle

Atıf için künye

Yıldırım, F., & Salımov, A. (2014). Semi-cotangent bundle and problems of lifts. Turkish Journal of Mathematics, 38(2), 325–339. https://doi.org/10.3906/mat-1306-46

BibTeX

@article{yildirim2014-53667,
  author = {Yıldırım, Furkan and Salımov, Arif},
  title = {Semi-cotangent bundle and problems of lifts},
  journal = {Turkish Journal of Mathematics},
  year = {2014},
  volume = {38},
  number = {2},
  pages = {325--339},
  issn = {1300-0098},
  doi = {10.3906/mat-1306-46},
  url = {https://akademik.atauni.edu.tr/yayinlar/53667-semi-cotangent-bundle-and-problems-of-lifts}
}