— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding’s volume convergence theorem and of Cheeger-Colding dimension gap estimate for RCD spaces. In particular this establishes the stability of non-collapsed spaces under non-collapsed Gromov-Hausdorff convergence.
Non-collapsed spaces with Ricci curvature bounded from below / De Philippis, G.; Gigli, N.. - In: JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES. - ISSN 2429-7100. - 5:(2018), pp. 613-650. [10.5802/jep.80]
Non-collapsed spaces with Ricci curvature bounded from below
De Philippis G.
;Gigli N.
2018-01-01
Abstract
— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding’s volume convergence theorem and of Cheeger-Colding dimension gap estimate for RCD spaces. In particular this establishes the stability of non-collapsed spaces under non-collapsed Gromov-Hausdorff convergence.File in questo prodotto:
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