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arXiv · 1605.06017

Isometry Structures on Vector Bundles

Hulya Kadioglu·Robert Fisher Jr
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Abstract

In this paper, we prove that total space of every vector bundle with the base manifold on which the canonical isometric action acts freely, also carries a principal bundle structure. We also obtain another principal bundle based on the total space of given vector bundle.

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Hulya Kadioglu, Robert Fisher Jr. 2016-10-10. Isometry Structures on Vector Bundles. https://arxiv.org/abs/1605.06017

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