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Nonnegative Ricci curvature and the Brownian coupling property. (English) Zbl 0584.58045
This paper shows that if \(M\) is a complete Riemannian manifold with Ricci curvatures all nonnegative then \(M\) has the Brownian coupling property. From this one may immediately draw deductions concerning the nonexistence of certain harmonic maps.

MSC:
58J65 Diffusion processes and stochastic analysis on manifolds
32H25 Picard-type theorems and generalizations for several complex variables
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
60J65 Brownian motion
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References:
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