Brownian motion, negative curvature, and harmonic maps

  • W. S. Kendall
Papers Based On Splinter-group Talks
Part of the Lecture Notes in Mathematics book series (LNM, volume 851)


As mentioned above, it has been the purpose of this article to show that Brownian motion and probabilistic techniques can be applied to prove results in geometric function theory. The main result obtained, at 4.2, is weaker than the corresponding result at 3.1 proved by geometric methods. However it is possible to extend 4.2, for example by relaxing the curvature conditions to hold only off a compact set.


Brownian Motion Riemannian Manifold Sectional Curvature Universal Covering Negative Curvature 
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7. References

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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • W. S. Kendall
    • 1
  1. 1.Department of Mathematical StatisticsThe UniversityHull

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