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math.DG2012★ 2 cited
Boundaries of non-compact harmonic manifolds
Andrew M. Zimmer
In this paper we consider non-compact non-flat simply connected harmonic manifolds. In particular, we show that the Martin boundary and Busemann boundary coincide for such manifold…
math.DG2012
Compact asymptotically harmonic manifolds
Andrew M. Zimmer
A complete Riemannian manifold without conjugate points is called asymptotically harmonic if the mean curvature of its horospheres is a universal constant. Examples of asymptotical…