Orbifold compactness for spaces of Riemannian metrics and applications
نویسندگان
چکیده
منابع مشابه
Orbifold Compactness for Spaces of Riemannian Metrics and Applications
is precompact in the C1,α topology. Here R denotes the Riemann curvature tensor, vol the volume and diam the diameter of (M,g). Thus, for any sequence of metrics gi on n-manifolds Mi satisfying (1.1), there is a subsequence, also called gi, and diffeomorphisms φi : M∞ → Mi such that the metrics φi gi converge in the C 1,α topology to a limit metric g∞ onM∞, for any α < 1. In particular, there a...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2005
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-004-0603-5