Piecewise Smooth Manifolds
- 3.9k Downloads
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.
KeywordsSimplicial Complex Normal Cone Euler Characteristic Piecewise Smooth Integral Geometry
Unable to display preview. Download preview PDF.