Preprint 665-2000

Homogeneous geodesic in homogeneous Riemannian manifolds - Examples

Author(s) : Oldrich Kowalski, Stana Nikcevic, Zdenek Vlasek

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 665-2000

MSC 2000

53C20 Global Riemannian geometry, including pinching

53C22 Geodesics

53C30 Homogeneous manifolds

Abstract :
In [8] the first author and J. Szenthe proved, for a general homogeneous Riemannian manifold, some existence theorems on geodesics which are orbits of one-parameter groups of isometries. The aim of the present paper is to provide examples showing that the results from [8] are optimal in some sense.

Keywords : Riemannian manifold, Homogeneous space, Geodesics as orbits, k-symmetric space