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The Dirichlet problem at infinity on Hadamard manifolds
Published online by Cambridge University Press: 22 January 2016
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Let M be an n-dimensional Hadamard manifold, that is, a complete simply connected C∞ Riemannian manifold with nonpositive sectional curvatures. Making use of geodesic rays, Eberlein and O’Neill [11] constructed a compactification = MS(∞) of M which gives a homeomorphism of (M, S(∞)) with the Euclidean pair (Bn, Sn-1). In this paper we shall study the asymptotic Dirichlet problem for the Laplace-Beltrami operator, which is stated as follows:
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1995
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