Tamaru's TALK (Dartmouth 2017)

Data

Left-invariant metrics and submanifold geometry,
Lie Group Actions in Riemannian Geometry (Dartmouth College, USA). 2017/06/29.

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.

Files

• The file of slide: Left-invariant metrics and submanifold geometry (Dartmouth 2017), pdf, 28pp, 148KB.