If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving it slowly, without tearing it and. Da perelman selbst kein interesse an einer detaillierteren darstellung seines beweises zeigt, haben verschiedene. In mathematics, the birch and swinnertondyer conjecture describes the set of rational solutions to equations defining an elliptic curve. Eles tentaram resumir o livro ricci flow and the poincare conjecture by john w. This work depends on the accumulative works of many geometric analysts in the past thirty years. Variedades simplesmente conexas dimensoes superiores. In particular, if m4 is a homotopy sphere, then h2 0 and. Towards the poincare conjecture and the classification of 3manifolds.
Emergence of turbulence in an oscillating boseeinstein condensate. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Devlin e os problemas do milenio nilson jose machado. Conjectura lui poincare grup poincare poincare recurrence theorem poincare disk model poincare duality poincare inequality. It is not known whether every smooth homotopy 4sphere is di. A conjectura acima foi provada ser verdadeira por s. Perelmans solution was based on richard hamiltons theory of ricci flow, and made use of results on spaces of metrics due to cheeger, gromov, and perelman himself. In these papers perelman also proved william thurstons geometrization conjecture, a special case of which is the poincare conjecture. In this paper, we give a complete proof of the poincar.
1438 1209 709 382 731 565 264 617 1340 977 1089 1373 419 1491 1368 313 1015 1079 967 970 77 1348 468 540 1342 1394 449 175 507 493 1386 1135 1449