A Pluzhnikov's theorem, Brownian motions and martingales in Lie group with skew-symmetric (Q2892560)
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scientific article; zbMATH DE number 6047651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Pluzhnikov's theorem, Brownian motions and martingales in Lie group with skew-symmetric |
scientific article; zbMATH DE number 6047651 |
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18 June 2012
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harmonic maps
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Lie groups
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stochastic analysis on manifolds
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math.DG
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math.PR
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A Pluzhnikov's theorem, Brownian motions and martingales in Lie group with skew-symmetric (English)
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The author considers a Lie group \(G\) with a left-invariant connection such that the corresponding connection function is skew-symmetric and proves a version of \textit{A. I. Pluzhnikov}'s theorem [Sov. Math., Dokl. 27, 246--248 (1983); translation from Dokl. Akad. Nauk SSSR 268, 1300--1302 (1983; Zbl 0531.58019)] in this case. Probabilistic techniques are used in the proof.
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