Special Ball-Homogeneous Spaces
Copyright policy )Special Ball-Homogeneous Spaces
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.
- University of Salento Italy
- KU Leuven Belgium
Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, ball-homogeneous space, conformal flatness, Ricci tensor, distinct Ricci eigenvalues, Differential geometry of symmetric spaces
Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, ball-homogeneous space, conformal flatness, Ricci tensor, distinct Ricci eigenvalues, Differential geometry of symmetric spaces
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