Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

From an iteration formula to Poincaré's Isochronous Center Theorem for holomorphic vector fields

Author(s): Guang Yuan Zhang
Journal: Proc. Amer. Math. Soc. 135 (2007), 2887-2891.
MSC (2000): Primary 32H50, 32M25, 37C27
Posted: May 8, 2007
MathSciNet review: 2317965
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Abstract | References | Similar articles | Additional information

Abstract: We first generalize a classical iteration formula for one variable holomorphic mappings to a formula for higher dimensional holomorphic mappings. Then, as an application, we give a short and intuitive proof of a classical theorem, due to H. Poincaré, for the condition under which a singularity of a holomorphic vector field is an isochronous center.

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