Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics

Corro, Diego, Garcia, Karla, Günther, Martin and Kordaß, Jan-Bernhard 2021. Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics. Proceedings of the American Mathematical Society 149 (12) , pp. 5407-5416. 10.1090/proc/15649

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Abstract

Let be a smooth bundle with fiber an -dimensional real projective space . We show that, if every fiber carries a positively curved pointwise strongly -pinched Riemannian metric that varies continuously with respect to its base point, then the structure group of the bundle reduces to the isometry group of the standard round metric on .

Item Type:	Article
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	0002-9939
Last Modified:	11 Sep 2023 09:30
URI:	https://orca.cardiff.ac.uk/id/eprint/162204

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