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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

NICOLAS DUTERTRE
NICOLAS DUTERTRE*
Affiliation:
Université de Provence, Centre de Mathématiques et Informatique, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France. e-mail: dutertre@cmi.univ-mrs.fr
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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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