منابع مشابه
Counting Open Negatively Curved Manifolds up to Tangential Homotopy Equivalence
Under mild assumptions on a group π, we prove that the class of complete Riemannian n–manifolds of uniformly bounded negative sectional curvatures and with the fundamental groups isomorphic to π breaks into finitely many tangential homotopy types. It follows that many aspherical manifolds do not admit complete negatively curved metrics with prescribed curvature bounds.
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2015
ISSN: 0024-6115
DOI: 10.1112/plms/pdv009