Geodesic
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.

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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.

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.

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://geodesic.mathdoc.fr/articles/10.1016/j.crma.2006.09.013/

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