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dg-ga1997
Double vector bundles and duality
Katarzyna Konieczna, Pawel Urbanski
The most important examples of a double vector bundle are provided by iterated tangent and cotangent functors: TTM, TT^*M, T^*TM, and T^*T^*M. We introduce the notions of the dual…
dg-ga1997
Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
Janusz Grabowski, Pawel Urbanski
Generalized Schouten, Froelicher-Nijenhuis and Froelicher-Richardson brackets are defined for an arbitrary Lie algebroid. Tangent and cotangent lifts of Lie algebroids are introduc…