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Left-invariant metrics and submanifold geometry,
Differential Geometry, Lie Theory and Low-Dimensional Topology
(La Trobe University, Melbourne (オーストラリア)),
2016/12/20.
Abstract
For left-invariant metrics on Lie groups,
we can construct submanifolds in the spaces of all left-invariant metrics.
We expect that nice left-invariant metrics are corresponding to nice submanifolds.
In this talk, we introduce our framework, and mention some results related to such correspondence.
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