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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_5817_AM2012_2_149,
     author = {Stelmastchuk, Sim\~ao},
     title = {A characterization of harmonic sections and a {Liouville} theorem},
     journal = {Archivum mathematicum},
     pages = {149--162},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2012},
     doi = {10.5817/AM2012-2-149},
     mrnumber = {2946214},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-149/}
}
TY  - JOUR
AU  - Stelmastchuk, Simão
TI  - A characterization of harmonic sections and a Liouville theorem
JO  - Archivum mathematicum
PY  - 2012
SP  - 149
EP  - 162
VL  - 48
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-149/
DO  - 10.5817/AM2012-2-149
LA  - en
ID  - 10_5817_AM2012_2_149
ER  - 
%0 Journal Article
%A Stelmastchuk, Simão
%T A characterization of harmonic sections and a Liouville theorem
%J Archivum mathematicum
%D 2012
%P 149-162
%V 48
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-149/
%R 10.5817/AM2012-2-149
%G en
%F 10_5817_AM2012_2_149
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. http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-149/

Cité par Sources :