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https://hdl.handle.net/20.500.12177/5500| Titre: | Espaces projectifs : Structures additionnelles sur un espace projectif |
| Auteur(s): | Efouba Ekassi, Rucène |
| Directeur(s): | Mba, Alphonse |
| Mots-clés: | Projective space Affine-projective connexion Affine structure Angular structure |
| Date de publication: | 2016 |
| Editeur: | Université de Yaoundé I |
| Résumé: | Our work is devoted to the analysis of a new geometric space in which all the straight lines are secant : the projective space. We use vectorial and affine spaces properties to have the following results : - A projective space is an affine space completed by some points called infinity points. -A projective space, except an hyperplane, has an affine space structure. -PAPPUS and DESARGUES theorems have simplified terms and demonstrations in a projective space. -In a complex projective space we also have a structure which let reals points invariant. -In a projective space, we also have the notion of angle between two straight lines |
| Pagination / Nombre de pages: | 57 |
| URI/URL: | https://hdl.handle.net/20.500.12177/5500 |
| Collection(s) : | Mémoires soutenus |
Fichier(s) constituant ce document :
| Fichier | Description | Taille | Format | |
|---|---|---|---|---|
| ENS_2016_mem_0215.pdf | 2.25 MB | Adobe PDF |  Voir/Ouvrir |
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