Nonnegative ricci curvature and the brownian coupling property

Abstract

Abstract This paper shows that if M is a complete Riemannian manifold with Ricci curvatures all nonnegative than M has the Brownian coupling property. From this one may immediately draw deductions concerning the nonexistence of certain harmonic maps Keywords: Brownian motionstochastic developmentstochastic calculuscut locusconjugate locusRicci curvatureharmonic mapBrownian coupling property