Semi-cotangent bundle and problems of lifts

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t\astB, 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.

Anahtar Kelimeler:

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

Semi-cotangent bundle and problems of lifts

Keywords:

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

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