Title of article :
Semi-cotangent bundle and problems of lifts
Author/Authors :
YILDIRIM, FURKAN Ataturk University - Faculty of Science - Department of Mathematics, Turkey , SALIMOV, ARIF Ataturk University - Faculty of Science - Department of Mathematics, Turkey
Abstract :
Abstract: 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.
Keywords :
Vector field , complete lift , basic 1 , form , semi , cotangent bundle
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
