Killing's Equations for Invariant Metrics on Lie Groups
College of Liberal Arts and Sciences
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.
UAE- Math Seminar
Sharja, United Arab Emirates
Hindeleh, Firas and Thompson, Gerard, "Killing's Equations for Invariant Metrics on Lie Groups" (2011). Faculty Scholarly Dissemination Grants. 400.