The group of diffeomorphisms of a non-compact manifold is not regular
We show that a group of diffeomorphisms D on the open unit interval I, equipped with the topology of uniform convergence on any compact set of the derivatives at any order, is non-regular: the exponential map is not defined for some path of the Lie algebra. This result extends to the group of diffeo...
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| 格式: | 文件 |
| 语言: | English |
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De Gruyter
2018-03-01
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| 丛编: | Demonstratio Mathematica |
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| 在线阅读: | http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0001/dema-2018-0001.xml?format=INT |