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Piecewise Smooth Manifolds

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Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

So far, all that we have had to say about manifolds and calculus on manifolds has been of a local nature; i.e., it depended only on what was happening in individual charts. However, looking back at what we did in Sections 6.1–6.3 in the setting of integral geometry, we see that this is not going to solve our main problem, which is understanding the global structure of excursion sets of random fields now defined over manifolds.

Keywords

Simplicial Complex Normal Cone Euler Characteristic Piecewise Smooth Integral Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media LLC 2007

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