منابع مشابه
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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: The Annals of Mathematics
سال: 1966
ISSN: 0003-486X
DOI: 10.2307/1970427