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Mean Curvature in the Light of Scalar Curvature

Name: Mean Curvature in the Light of Scalar Curvature
Creator: Misha Gromov
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Jun 2020Embargo end date: 01 Jan 2018Publisher:Cellule MathDoc/CEDRAMJournal:Annales de l'Institut Fourier, volume 69, pages 3,169-3,194 (eissn: 1777-5310,

Authors: Misha Gromov;

doi: 10.5802/aif.3347 , 10.48550/arxiv.1812.09731

arXiv: http://arxiv.org/abs/1812.09731

Mean Curvature in the Light of Scalar Curvature

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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 bonds on their scalar curvatures, and prove a few theorems motivating these conjectures.

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	4
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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