Mean curvature in the light of scalar curvature

Misha Gromov

doi:10.5802/AIF.3347

Mean curvature in the light of scalar curvature

Misha Gromov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	3169-3194
Number of pages	26
Journal	Annales de l'Institut Fourier
Volume	69
Issue number	7
DOIs	https://doi.org/10.5802/AIF.3347
State	Published - 2019

Keywords

Mean curvature
Scalar curvature

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/AIF.3347

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abstract = "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.",

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Mean curvature in the light of scalar curvature

Abstract

Keywords

ASJC Scopus subject areas

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