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A geometric characterization of linear hyperbolic flows on $\mathbb{C}^n$
Published online by Cambridge University Press: 26 July 2006
Abstract
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We prove that a polynomial vector field on $\mathbb{C}^n$, $n\geq 2$, whose corresponding projective foliation has only singularities of hyperbolic type is linear in some affine chart provided that it is transverse to a sequence of spheres bounding balls exhausting ${\mathbb{C}}^n$.
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- 2006 Cambridge University Press
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