On fibers of fat associated bundles
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 149-159
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We are interested in associated fat bundles, which are an important tool in constructing Riemannian metrics of positive and non-negative curvature. We want to understand the behavior of the fatness condition under changes of structure groups of bundles. We show that if the structure group does not coincide with the holonomy group, and the $G$-bundle is fat, then the fiber of the bundle must be finitely covered by a sphere or a complex projective space of a particular dimension.
Keywords:
interested associated fat bundles which important tool constructing riemannian metrics positive non negative curvature want understand behavior fatness condition under changes structure groups bundles structure group does coincide holonomy group g bundle fat fiber bundle finitely covered sphere complex projective space particular dimension
Affiliations des auteurs :
Maciej Bocheński 1 ; Anna Szczepkowska 1 ; Aleksy Tralle 1 ; Artur Woike 1
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author = {Maciej Boche\'nski and Anna Szczepkowska and Aleksy Tralle and Artur Woike},
title = {On fibers of fat associated bundles},
journal = {Colloquium Mathematicum},
pages = {149--159},
publisher = {mathdoc},
volume = {150},
number = {1},
year = {2017},
doi = {10.4064/cm7138s-1-2017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm7138s-1-2017/}
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Maciej Bocheński; Anna Szczepkowska; Aleksy Tralle; Artur Woike. On fibers of fat associated bundles. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 149-159. doi: 10.4064/cm7138s-1-2017
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