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	On Double Vector Bundles
	Zhuo CHEN ; Zhang Ju LIU ; Yun He SHENG ; Zhuo CHEN ; Zhang Ju LIU ; Yun He SHENG
	2016-03-30 ; 2016-03-30
关键词	Double vector bundles DVB sequences duality jet bundles O183.1
其他题名	On Double Vector Bundles
中文摘要	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.; 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.
语种	英语 ; 英语
内容类型	期刊论文
源URL	[http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/145992]
专题	清华大学
推荐引用方式 GB/T 7714	Zhuo CHEN,Zhang Ju LIU,Yun He SHENG,et al. On Double Vector Bundles[J],2016, 2016.
APA	Zhuo CHEN,Zhang Ju LIU,Yun He SHENG,Zhuo CHEN,Zhang Ju LIU,&Yun He SHENG.(2016).On Double Vector Bundles..
MLA	Zhuo CHEN,et al."On Double Vector Bundles".(2016).

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