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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.

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
Full Text: DOI
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