Semi-cotangent bundle and problems of lifts | Zendy

Furkan Yıldırım | Zendy; Arif Salimov | Zendy

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Semi-cotangent bundle and problems of lifts

Author(s) -

Furkan Yıldırım,

Arif Salimov

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1306-46

Subject(s) - cotangent bundle , mathematics , symplectic geometry , pure mathematics , tangent bundle , normal bundle , bundle , trigonometric functions , degenerate energy levels , vector valued differential form , parallelizable manifold , symplectic manifold , frame bundle , vector bundle , geometry , physics , materials science , quantum mechanics , composite material , tangent space

Using the ber bundle M over a manifold B, we dene 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.

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