A geometric proof of the Berger Holonomy Theorem
Annals of mathematics, Tome 161 (2005) no. 1, pp. 579-588
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The proof uses Euclidean submanifold geometry of orbits and gives a link between Riemannian holonomy groups and normal holonomy groups.
@article{10_4007_annals_2005_161_579,
author = {Carlos Olmos},
title = {A geometric proof of the {Berger} {Holonomy} {Theorem}},
journal = {Annals of mathematics},
pages = {579--588},
publisher = {mathdoc},
volume = {161},
number = {1},
year = {2005},
doi = {10.4007/annals.2005.161.579},
mrnumber = {2150392},
zbl = {1082.53048},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.579/}
}
TY - JOUR AU - Carlos Olmos TI - A geometric proof of the Berger Holonomy Theorem JO - Annals of mathematics PY - 2005 SP - 579 EP - 588 VL - 161 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.579/ DO - 10.4007/annals.2005.161.579 LA - en ID - 10_4007_annals_2005_161_579 ER -
Carlos Olmos. A geometric proof of the Berger Holonomy Theorem. Annals of mathematics, Tome 161 (2005) no. 1, pp. 579-588. doi: 10.4007/annals.2005.161.579
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