Abstract
Considering one ξ-piece and using Lemma 11 and its proof, we can transport all the H 10 -index of a simple critical point at infinity∞on that single piece. If this H 10 -index is at least 2, we are able to generate a change in the maximal number of zeros of b on the unstable manifold of x ∞. If an iterate of x ∞is of even index 2k, the homology will then be well defined, as far as x ∞is concerned, at the order 2k.
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© 2003 Springer Science+Business Media New York
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Bahri, A. (2003). Weakening Condition (A4). In: Flow Lines and Algebraic Invariants in Contact Form Geometry. Progress in Nonlinear Differential Equations and Their Applications, vol 53. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0021-5_14
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DOI: https://doi.org/10.1007/978-1-4612-0021-5_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6576-4
Online ISBN: 978-1-4612-0021-5
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