Turkish Journal of Mathematics
Abstract
Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t^{\ast}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.
DOI
10.3906/mat-1306-46
Keywords
Vector field, complete lift, basic 1-form, semi-cotangent bundle
First Page
325
Last Page
339
Recommended Citation
YILDIRIM, FURKAN and SALIMOV, ARIF
(2014)
"Semi-cotangent bundle and problems of lifts,"
Turkish Journal of Mathematics: Vol. 38:
No.
2, Article 14.
https://doi.org/10.3906/mat-1306-46
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss2/14
