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Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz–Szabo theorem

✍ Scribed by Fabrice Baudoin

Publisher: Elsevier Science
Year: 2002
Tongue: French
Weight: 103 KB
Volume: 126
Category: Article
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(02)01123-5

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✦ Synopsis

We show that the only compact simply connected manifolds for which the radial part of Brownian motion enjoys the Markov property are compact two points homogeneous spaces, i.e. rank one symmetric spaces.