The space of left-invariant Riemannian metrics
The space of left-invariant Riemannian metrics
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左不变黎曼度量的空间
DOI:
10.1007/978-4-431-56021-0_17
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
Hiroshi Tamaru
中科院分区:
文献类型:
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作者:
泉屋 周一;Hiroshi Tamaru
Geometry of left-invariant Riemannian metrics on Lie groups has been studied very actively. We have proposed a new framework for studying this topic from the viewpoint of the space of left-invariant metrics. In this expository paper, we introduce our framework, and mention two results. One is a generalization of Milnor frames, and another is a characterization of solvsolitons of dimension three in terms of submanifold geometry.