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DC Field | Value | Language |
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dc.contributor.advisor | Bahayou, Mohammed Amine | - |
dc.contributor.author | Kadri, Nadjat | - |
dc.date.accessioned | 2013-12-09T10:16:11Z | - |
dc.date.available | 2013-12-09T10:16:11Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/1684 | - |
dc.description | ANALYSE FONDAMENTALLE | - |
dc.description.abstract | We focus in this Master project on a result of differential topology which has many implications in topology and geometry. This is the Poincare-Hopf theorem which asserts that the Euler characteristic of a compact manifold is equal to the sum of the indices of vector fields with a finite number of singular points on the manifold. We present all the necessary tools to prove this theorem, and we develop some examples of applications. | - |
dc.description.abstract | Nous nous int ́eressons dans ce m ́emoire `a un r ́esultat de topologie diff ́eren- tielle qui a de nombreuses cons ́equences en topologie et en g ́eom ́etrie. Il s’agit du Th ́eor`eme de Poincar ́e-Hopf qui affirme que la caract ́eristique d’Euler- Poincar ́e d’une vari ́et ́e compacte et ́egale `a la somme des indices d’un champs de vecteurs sur la vari ́et ́e, ayant un nombre fini de points singuliers. Nous pr ́esentons tout les outils n ́ecessaires pour d ́emontrer ce th ́eor`eme et nous d ́eveloppons quelques exemples d’application. | - |
dc.publisher | U N I V E R S I T E K A S D I M E R B A H O U A R G L A | - |
dc.title | Théorème de poincaré Hopf | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Kadri-Nadjat.pdf | 307,27 kB | Adobe PDF | View/Open |
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