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On Double Vector Bundles by Chen, Zhuo; Liu, Zhangju; Sheng, Yunhe is a scholarly article available to read on EtoBox.

What is On Double Vector Bundles about?

In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality theory of double vector bundles in term of the corresponding short exact sequences. Examples including the jet bundle and the Atiyah algebroid are discussed.

Author

Chen, Zhuo; Liu, Zhangju; Sheng, Yunhe

Published

2011

Language

EN