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2013 An orbit Cartan type decomposition of the inertia space of $\mathrm{SO}(2m)$ acting on $\mathbb R^{2m}$
Christopher Seaton, John Wells
Involve 6(4): 467-482 (2013). DOI: 10.2140/involve.2013.6.467

Abstract

We study the inertia space of 2m with the standard action of the special orthogonal group SO(2m). In particular, we indicate a decomposition of the inertia space that induces the orbit Cartan type stratification of the inertia space recently defined by C. Farsi, M. Pflaum, and the first author for an arbitrary smooth G-manifold where G is a compact Lie group.

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Christopher Seaton. John Wells. "An orbit Cartan type decomposition of the inertia space of $\mathrm{SO}(2m)$ acting on $\mathbb R^{2m}$." Involve 6 (4) 467 - 482, 2013. https://doi.org/10.2140/involve.2013.6.467

Information

Received: 30 August 2012; Revised: 17 May 2013; Accepted: 19 May 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1278.57039
MathSciNet: MR3115980
Digital Object Identifier: 10.2140/involve.2013.6.467

Subjects:
Primary: 57S15, 58A35

Rights: Copyright © 2013 Mathematical Sciences Publishers

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Vol.6 • No. 4 • 2013
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