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Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets
Published online by Cambridge University Press: 20 November 2009
Abstract
The radial index of a 1-form on a singular set is a generalization of the classical Poincaré–Hopf index. We consider different classes of closed singular semi-analytic sets in n that contain 0 in their singular locus and we relate the radial index of a 1-form at 0 on these sets to Poincaré–Hopf indices at 0 of vector fields defined on n.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 148 , Issue 2 , March 2010 , pp. 297 - 330
- Copyright
- Copyright © Cambridge Philosophical Society 2009
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