Mathematics – Differential Geometry
Scientific paper
2010-12-20
Mathematics
Differential Geometry
20 pages
Scientific paper
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foliated vector calculus provide a natural method to work on harmonic measures. Other results include a decomposition of the Laplacian in terms of the foliated and basic Laplacians, a characterization of totally invariant measures and a differential equation for the density of harmonic measures.
Catuogno Pedro J.
Ledesma Diego S.
Ruffino Paulo R.
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