Geodesic
A characterization of harmonic sections and a Liouville theorem
Archivum mathematicum, Tome 48 (2012) no. 2, pp. 149-162

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Let $P(M,G)$ be a principal fiber bundle and $E(M,N,G,P)$ an associated fiber bundle. Our interest is to study the harmonic sections of the projection $\pi_{E}$ of $E$ into $M$. Our first purpose is give a characterization of harmonic sections of $M$ into $E$ regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of $\pi_{E}$.
DOI : 10.5817/AM2012-2-149
Classification : 53C43, 55R10, 58E20, 58J65, 60H30
Keywords: harmonic sections; Liouville theorem; stochastic analysis on manifolds 
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Stelmastchuk, Simão. A characterization of harmonic sections and a Liouville theorem. Archivum mathematicum, Tome 48 (2012) no. 2, pp. 149-162. doi: 10.5817/AM2012-2-149

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