A Genealogy of Noncompact Manifolds of Nonnegative Curvature: History and Logic
نویسنده
چکیده
This article presents an approach to the theory of open manifolds of nonnegative sectional curvature via the calculus of nonsmooth functions. This analytical approach makes possible a very compact development of the by now classical theory. The article also gives a summary of the historical development of the subject of open manifolds of nonnegative sectional curvature and of related topics. Some very recent results are also discussed, including results of the author jointly with P. Petersen and S. H. Zhu on curvature decay.
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