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Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature. [Preprint]

Tuschmann, Wilderich; Wiemeler, Michael

Abstract: Leon Green obtained remarkable rigidity results for manifolds of positive scalar curvature with large conjugate radius and/or injectivity radius. Using Ck,α convergence techniques, we prove several differentiable stability and sphere theorem versions of these results and apply those also to the study of Einstein manifolds.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2014
Sprache Englisch
Identifikator KITopen ID: 1000051286
Erschienen in arXiv [math.DG]
Seiten arXiv:1408.3006
URLs http://arxiv.org/abs/1408.3006
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