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arXiv · 1503.05506

Harmonic Functions On Manifolds Whose Large Sphere Are Small

Gilles Carron
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Abstract

We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic functions.

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Gilles Carron. 2015-03-18. Harmonic Functions On Manifolds Whose Large Sphere Are Small. https://arxiv.org/abs/1503.05506

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