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October 2019 Vector bundles, isoparametric functions and Radon transforms on symmetric spaces
Yasuyuki Nagatomo, Masaro Takahashi
Osaka J. Math. 56(4): 675-711 (October 2019).

Abstract

We systematically construct isoparametric functions on compact symmetric spaces using vector bundles and sections of the bundles. We establish a relation between invariants of vector bundles and invariants of hypersurfaces which are the level sets of the isoparametric functions induced by sections of the bundles. We hope that this approach provides a new method for computing invariants of hypersurfaces. The Radon transform is performed to derive isoparametric functions on spheres from our functions.

Citation

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Yasuyuki Nagatomo. Masaro Takahashi. "Vector bundles, isoparametric functions and Radon transforms on symmetric spaces." Osaka J. Math. 56 (4) 675 - 711, October 2019.

Information

Published: October 2019
First available in Project Euclid: 21 October 2019

zbMATH: 07144180
MathSciNet: MR4020632

Subjects:
Primary: 53C30, 53C40

Rights: Copyright © 2019 Osaka University and Osaka City University, Departments of Mathematics

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Vol.56 • No. 4 • October 2019
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