Proof of the gradient conjecture of R. Thom
| dc.creator | Kurdyka, Krzysztof | |
| dc.creator | Mostowski, Tadeusz | |
| dc.creator | Parusinski, Adam | |
| dc.date | 1999-06-30 | |
| dc.date | 2000-11-01 | |
| dc.date.accessioned | 2026-07-07T05:29:43Z | |
| dc.date.available | 2026-07-07T05:29:43Z | |
| dc.description | 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. | |
| dc.description | 30 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/9906212 | |
| dc.identifier | http://arxiv.org/abs/math/9906212 | |
| dc.identifier | Ann. of Math. (2) 152 (2000), no. 3, 763--792 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78752 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Proof of the gradient conjecture of R. Thom | |
| dc.type | text |