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

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

2007-06-11

arxiv.org/abs/0706.1585v1

Mathematics

Differential Geometry

18 pages

Scientific paper

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.

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