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On projectable objects on fibred manifolds. (English) Zbl 1090.53503
The authors study systematically the projectable objects on fibred manifolds. At the beginning they collect well known results on projectable vector fields and forms. Then they deduce several new results on projectable linear connection and related subjects.
MSC:
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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