Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature-Reference-Cited by-同舟云学术

Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature

Published:2022-03-11 Issue:3-4 Volume:385 Page:1747-1773
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Balogh Zoltán M.,Kristály Alexandru

Funder

UEFISCDI/CNCS

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00208-022-02380-1.pdf

Reference65 articles.

1. Agostiniani, V., Fogagnolo, M., Mazzieri, L.: Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature. Invent. Math. 222(3), 1033–1101 (2020)

2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (2000)

3. Anderson, M.: On the topology of complete manifold of nonnegative Ricci curvature. Topology 3, 41–55 (1990)

4. Aubin, T.: Problèmes isopérimétriques et espaces de Sobolev. J. Differ. Geom. 11(4), 573–598 (1976)

5. Bacher, K., Sturm, K.-T.: Ricci Bounds for Euclidean and Spherical Cones Singular Phenomena and Scaling in Mathematical Models, pp. 3–23. Springer, Cham (2014)

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