Collapsing Riemannian manifolds while keeping their curvature bounded. I

Jeff Cheeger, Mikhael Gromov

Type: Article

Publication Date: 1986-01-01

Citations: 320

DOI: https://doi.org/10.4310/jdg/1214440117

Abstract

Soit Y n une variete de Riemann connexe complete et p∈Y n . Le rayon d'injectivite, i p , de l'application exponentielle en p est defini comme etant le plus petit r tel que exp p |B r (p)| n'est pas un diffeomorphisme sur son image. On etudie la situation dans laquelle la taille du rayon d'injectivite est petite relativement a la courbure

Locations

Journal of Differential Geometry - View - PDF

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+	How to conjugateC 1-close group actions	1973	Karsten Grove Hermann Karcher