Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations

2004/07/07 by Marius Buliga, Buliga, Marius
Mathematics · #53C17 #53D05 #53D05 53C17 #FOS: Mathematics #Metric Geometry (math.MG) #Symplectic Geometry (math.SG) #math.MG #math.SG #msc:53C17 #msc:53D05

paper · pdf · doi:10.48550/arxiv.math/0407099

arxiv created 2004/07/07 · arxiv updated 2009/12/01

Abstract

This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups. Part I", math.MG/0210189, available at http://arxiv.org/abs/math.MG/0210189, and "Tangent bundles to sub-Riemannian groups", math.MG/0307342, available at http://arxiv.org/abs/math.MG/0307342 .

Related

• Sub-Riemannian geometry and Lie groups. Part I
• Tangent bundles to sub-Riemannian groups
• Topics in representation theory and Riemannian geometry
• Sub-riemannian geometry from intrinsic viewpoint
• Sub-Riemannian distance on Lie groups SU(2) and SO(3)