Abstract
Diffusion theory on Finsler manifolds is briefly presented, including generalizations of the notions of stochastic parallel transport, stochastic development (rolling), and Brownian motion from the well-known Riemannian case. The results discussed cover the case of an arbitrary h - and v - metrical deflection-free v - symmetric Finsler connection, which proves important in applications, as can be seen from our second paper in this issue involving the so-called Wagner connection.
This work was partially supported by NSERC A-7667. This article appeared in Mathl. Comput. Modelling Vol. 20, pp. 109-116, 1994. It is included here, with permission from Pergamon Press.
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Antonelli, P.L., Zastawniak, T.J. (1998). Introduction to Diffusion on Finsler Manifolds. In: Antonelli, P.L., Lackey, B.C. (eds) The Theory of Finslerian Laplacians and Applications. Mathematics and Its Applications, vol 459. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5282-2_1
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DOI: https://doi.org/10.1007/978-94-011-5282-2_1
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