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, F, & SALIMOV, 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

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