paper

A method for the resolution of the Jacobi equation Y''+RY = 0 on the manifold Sp(2)/SU(2)

arXiv:0706.1585

Abstract

In this paper a method for the resolution of the differential equation of the Jacobi vector fields in the manifold V1 = Sp(2)/SU(2) is exposed. These results are applied to determine areas and volumes of geodesic spheres and balls.

18 pages