Mean Curvature in the Light of Scalar Curvature
[Courbure moyenne à la lumière de la courbure scalaire]
Annales de l'Institut Fourier, Tome 69 (2019) no. 7, pp. 3169-3194.

Nous formulons plusieurs conjectures sur les domaines à bords de courbure moyenne positive dans l’espace euclidiens ainsi que dans des espaces plus généraux de courbure scalaire minorée. Nous prouvons quelques théorèmes qui étayent ces conjectures.

We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these conjectures

Publié le :
DOI : 10.5802/aif.3347
Keywords: mean curvature, scalar curvature
Mot clés : courbure moyenne, courbure scalaire
Gromov, Misha 1, 2

1 Courant Institute of Mathematical Sciences, NYU, New York, (U.S.A)
2 and IHES, Bures-Sur-Yvette (France)
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Gromov, Misha. Mean Curvature in the Light of Scalar Curvature. Annales de l'Institut Fourier, Tome 69 (2019) no. 7, pp. 3169-3194. doi : 10.5802/aif.3347. http://www.numdam.org/articles/10.5802/aif.3347/

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