Sectional Curvature Comparison II

Part of the Graduate Texts in Mathematics book series (GTM, volume 171)


In the first section we explain how one can find generalized gradients for distance functions in situations where the function might not be smooth. This critical point technique is used in the proofs of all the big theorems in this chapter.


Totally Convex Nonnegative Sectional Curvature Betti Number Estimate Soul Theorem Positive Isotropic Curvature 
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© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

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