Geodesic
On fibers of fat associated bundles
Maciej Bocheński 1   ; Anna Szczepkowska 1   ; Aleksy Tralle 1   ; Artur Woike 1
1 Department of Mathematics and Computer Science University of Warmia and Mazury Słoneczna 54 10-710 Olsztyn, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 149-159 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm7138s-1-2017
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

Maciej Bocheński  1   ; Anna Szczepkowska  1   ; Aleksy Tralle  1   ; Artur Woike  1

1 Department of Mathematics and Computer Science University of Warmia and Mazury Słoneczna 54 10-710 Olsztyn, Poland 
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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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