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Data of a talk
Left-invariant metrics and submanifold geometry,
The 7th International Workshop on Differential Geometry
(Niji-Matsubara Hotel, Karatsu)
For a left-invariant metric on a given Lie group,
we can construct a submanifold,
where the ambient space is the space of all left-invariant metrics on that Lie group.
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.