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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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Generalizations of the generalized Stokes theorem and the Atiyah-Singer index theorem
I am interested in the generalized Stokes theorem and its various generalizations. It is apparent to me that many theorems in vector analysis and certain theorems in complex analysis can be viewed as …
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Generalized Stokes's theorem and the relationship of volume to surface area of objects of ar...
In this post I saw that it could be explained with the Generalized Stokes's theorem why the derivative of the area of a circle is equal to the boundary of the circle (the circumference):
$$C=\frac{d}{ …