Collapsed ricci limit spaces as non-collapsed rcd spaces

Shouhei Honda

doi:10.3842/SIGMA.2020.021

Collapsed ricci limit spaces as non-collapsed rcd spaces

Shouhei Honda

SCI - Mathematics

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

2 Citations (Scopus)

Abstract

In this short note we provide several conjectures on the regularity of measured Gromov–Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded be-low, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.

Original language	English
Article number	021
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	16
DOIs	https://doi.org/10.3842/SIGMA.2020.021
Publication status	Published - 2020

Keywords

Hausdorff measure
Laplacian
Metric measure space
Ricci curvature

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10.3842/SIGMA.2020.021

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title = "Collapsed ricci limit spaces as non-collapsed rcd spaces",

abstract = "In this short note we provide several conjectures on the regularity of measured Gromov–Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded be-low, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.",

keywords = "Hausdorff measure, Laplacian, Metric measure space, Ricci curvature",

author = "Shouhei Honda",

year = "2020",

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language = "English",

volume = "16",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

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KW - Hausdorff measure

KW - Laplacian

KW - Metric measure space

KW - Ricci curvature

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JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 021

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Collapsed ricci limit spaces as non-collapsed rcd spaces

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Keywords

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