no. 9
Differential Geometry/Calculus of Variations
Positive scalar curvature in dim⩾8
[Courbure scalaire positive en dimension ⩾8]

Présenté par : Marcel Berger

Lohkamp, Joachim1
1 Mathematisches Institut, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany
Comptes Rendus. Mathématique, Tome 343 (2006) no. 9, pp. 585-588.

Nous annonçons une suite des résultats et techniques nouveaux qui permit d'étendre les domaines d'application des hypersurfaces minimaux en géométrie de courbure scalaire. Par exemple, la restriction aux dimensions ⩽7 qui emerge d'un problème analytique subtil en dimensions plus grandes est éliminée complètement.

We announce a first series of new results and techniques extending the scope of applications of minimal hypersurfaces in scalar curvature geometry. For instance, the restriction to dimensions ⩽7 which arises from subtle analytic problems in higher dimensions is entirely removed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.09.013
Lohkamp, Joachim 1

1 Mathematisches Institut, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany 
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Lohkamp, Joachim. Positive scalar curvature in $ \mathrm{dim}⩾8$. Comptes Rendus. Mathématique, Tome 343 (2006) no. 9, pp. 585-588. doi : 10.1016/j.crma.2006.09.013. http://www.numdam.org/articles/10.1016/j.crma.2006.09.013/

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