摘要：we analyze the geometrical structures of statistical
manifold S consisting of all the wrapped Cauchy distributions. We prove that S is a simply
connected manifold with constant negative curvature . However, it is not isometric to
the hyperbolic space because S is noncomplete. In fact, S is approved to be a cohomogeneity
one manifold. Finally, we use several tricks to get the geodesics and explore the divergence
performance of them by investigating the Jacobi vector field.
