Proof of the gradient conjecture of R. Thom

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Let x(t) be a trajectory of the gradient of a real analytic function and suppose that x_0 is a limit point of x(t). We prove the gradient conjecture of R. Thom which states that the secants of x(t) at x_0 have a limit. Actually we show a stronger statement: the radial projection of x(t) from x_0 onto the unit sphere has finite length.
30 pages, published version

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906212
 http://arxiv.org/abs/math/9906212
 Ann. of Math. (2) 152 (2000), no. 3, 763--792

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