Data of a talk

Data

• Title: The space of left-invariant metrics and submanifold geometry.
• Conference: 2015 Joint Mathematics Meetings, AMS Special Session on Ricci Curvature for Homogeneous Spaces and Related Topics
• Place: San Antonio (Texas, USA).
• Date: 2015/01/12.

Abstract

It is an important problem to examine whether a given Lie group admit distinguished left-invariant metrics, such as Einstein or Ricci soliton metrics. In this talk, I will explain our approach from submanifold geometry. In particular, for three-dimensional solvable Lie groups, the existence and nonexistence of left-invariant Ricci soliton metrics have a nice correspondence with the geometry of cohomogeneity one actions on some noncompact symmetric space. I will also mention some higher-dimensional examples and a pseudo-Riemannian version.

Files

• Slide: pdf (17pp, 136KB)