Semi-cotangent bundle and problems of lifts

Authors: FURKAN YILDIRIM, ARIF SALIMOV

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.

Keywords: Vector field, complete lift, basic 1-form, semi-cotangent bundle

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