Year: 2011
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Chen, Zhuo, Liu, Zhangju, Sheng, Yunhe
Institutions: Tsinghua University, Peking University, Jilin University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949790806