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#
Tamaru's TALK (Dartmouth 2017)

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Data

Left-invariant metrics and submanifold geometry,

Lie Group Actions in Riemannian Geometry
(Dartmouth College, USA).
2017/06/29.

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Abstract

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 (such as Einstein or Ricci soliton) are corresponding to nice submanifolds.
In this talk, we introduce our framework,
and mention some results related to such correspondence.

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