Problèmes de Yamabe généralisés et ses applications
Séminaire de théorie spectrale et géométrie, Tome 25 (2006-2007), pp. 211-226.

On étudie quelques équations complètement non linéaires issues de la géométrie conforme. Par une méthode de flot géométrique, on prouve l’existence des solutions. En utilisant ce résultat analytique, on obtient un théorème sur la topologie de la variété : soit M une variété riemannienne compacte de dimension 3. S’il existe une metrique g à courbure scalaire strictement positive telle que l’intégrale de la σ 2 -courbure scalaire soit positive, alors M est difféomorphe à un quotient de la sphere.

DOI : 10.5802/tsg.257
Ge, Yuxin 1

1 Université Paris XII - Val de Marne Faculté de Sciences et Technologie Centre de Mathématiques 61 avenue du Général de Gaulle 94010 Créteil cedex (France)
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Ge, Yuxin. Problèmes de Yamabe généralisés et ses applications. Séminaire de théorie spectrale et géométrie, Tome 25 (2006-2007), pp. 211-226. doi : 10.5802/tsg.257. http://archive.numdam.org/articles/10.5802/tsg.257/

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