Tamaru's TALK (AMS 2020)
Data
Left-invariant metrics and submanifold geometry of noncompact symmetric spaces
AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930-2017)
Abstract
For a left-invariant Riemannian metric on a given Lie group,
we can construct a submanifold,
where the ambient space is a noncompact Riemannian symmetric space
consisting 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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