Geodesic transformations and harmonic spaces
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Abstract
We prove that a Riemannian manifold is harmonic if and only if there exists a divergence-preserving geodesic transformation with respect to each point which is not volume-preserving.
1991 Mathematics Subject Classification
53B20 53C25Key words and phrases
Divervence- and volume-preserving geodesic trasformations harmonic spacesPreview
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