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Jansen, Dorothea Gisela ; Jansen, Dorothea: Existence of typical scales for manifolds with lower Ricci curvature bound. 2016
Inhalt
Introduction
Foundations
Bishop-Gromov volume comparison
Rescaling of metrics
Gromov-Hausdorff convergence
Local construction
Construction of first set
Construction of second set and scales
The C-property and the dimension of blow-ups
Proof of the main proposition
Global construction
Application to generic points
Comparison of rescaling sequences
Generic points and geodesics
Proof of the main theorem
Gromov-Hausdorff convergence
The compact case
The non-compact case
Ultralimits
Measured Gromov-Hausdorff convergence
Rescaling of metrics
Bishop-Gromov volume comparison