Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1997-12-31
Special Ball-Homogeneous SpacesG. Calvaruso and L. Vanhecke (1) Katholieke Universiteit Leuven, Belgium
(2) Katholieke Universiteit Leuven, Belgium
We continue the study of ball-homogeneous Riemannian manifolds, that is, R.ie-mannian spaces such that the volume of all sufficiently small geodesic balls or spheres only depends on the radius. First, we consider the case of locally reducible spaces. Then we treat the three-dimensional case, in particular for Einstein-like metrics and finally, we study confor-mally flat ball-homogeneous spaces. Our aim is to provide more partial answers to the question whether a ball-homogeneous space is locally homogeneous or not.
Keywords: Ball-homogeneous spaces, Einstein-like manifolds, conformally flat spaces
Calvaruso G., Vanhecke L.: Special Ball-Homogeneous Spaces. Z. Anal. Anwend. 16 (1997), 789-800. doi: 10.4171/ZAA/792