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Zeitschrift für Analysis und ihre Anwendungen

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Volume 16, Issue 4, 1997, pp. 789–800
DOI: 10.4171/ZAA/792

Published online: 1997-12-31

Special Ball-Homogeneous Spaces

G. Calvaruso[1] and L. Vanhecke[2]

(1) Katholieke Universiteit Leuven, Belgium
(2) Katholieke Universiteit Leuven, Belgium

We continue the study of ball-homogeneous Riemannian manifolds, that is, 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