Killing's Equations for Invariant Metrics on Lie Groups

Authors

Firas Hindeleh, Grand Valley State University
Gerard Thompson

Department

Mathematics

College

College of Liberal Arts and Sciences

Date Range

2011-2012

Abstract

This article is the first in a series that will investigate symmetry and curvature properties of a right-invariant metric on a Lie group. This talk will consider Lie groups in dimension two and three and will focus on the solutions of Killing's equations. A striking result is that several of the three-dimensional Lie groups turn out to be spaces of constant curvature.

Conference Name

UAE- Math Seminar

Conference Location

Sharja, United Arab Emirates

ScholarWorks Citation

Hindeleh, Firas and Thompson, Gerard, "Killing's Equations for Invariant Metrics on Lie Groups" (2011). Faculty Scholarly Dissemination Grants. 400.
https://scholarworks.gvsu.edu/fsdg/400