Tamaru's WEB PAGE $B!d(B
Tamaru's TALK (Dartmouth 2017)
Left-invariant metrics and submanifold geometry,
Lie Group Actions in Riemannian Geometry
(Dartmouth College, USA).
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.