Riemannian Manifolds for which a Power of the Radius is -harmonic
Rainer Schimming
Ernst-Moritz-Arndt-Universität Greifswald, Germany
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Abstract
Let denote Synge’s function of a Riemannian manifold of any signature and consider the condition that some power of or the logarithm of is -harmonic. Then in many, cases turns out to be flat. Certain classes of non-flat manifolds can be characterized just by a condition of the aforesaid typo.
Cite this article
Rainer Schimming, Riemannian Manifolds for which a Power of the Radius is -harmonic. Z. Anal. Anwend. 4 (1985), no. 3, pp. 235–249
DOI 10.4171/ZAA/149