An Alexandrov–Fenchel-type inequality for hypersurfaces in the sphere

Author:

Girão FredericoORCID,Pinheiro Neilha M.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference24 articles.

1. Alexandrov, A.D.: Zur Theorie der gemischten volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. Rec. Math. (Moscou) [Mat. Sbornik] N.S., 2, 1205–1238 (1937)

2. Alexandrov, A.D.: Zur Theorie der gemischten Volumina von konvexen Körpern III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. Rec. Math. (Moscou) [Mat. Sbornik] N.S. 3, 27–46 (1938)

3. Alías, L.J., de Lira, J.H.S., Malacarne, J.M.: Constant higher-order mean curvature hypersurfaces in Riemannian spaces. J. Inst. Math. Jussieu 5(4), 527–562 (2006)

4. Brendle, S.: Constant mean curvature surfaces in warped product manifolds. Publ. Math. Inst. Hautes Études Sci. 117, 247–269 (2013)

5. Brendle, S., Hung, P.-K., Wang, M.-T.: A Minkowski inequality for hypersurfaces in the anti-de Sitter-Schwarzschild manifold. Comm. Pure Appl. Math. 69(1), 124–144 (2016)

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