JP Journal of Geometry and Topology
Volume 24, Issue 1-2, Pages 27 - 54
(May 2020)
http://dx.doi.org/10.17654/GT024120027 |
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DISCRETE CALCULUS WITH CUBIC CELLS ON DISCRETE MANIFOLDS
Leonardo De Carlo
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Abstract:
This work is thought as an operative guide to “discrete exterior calculus” (DEC), but at the same time with a rigorous exposition. We present a version of (DEC) on “cubic” cell, defining it for discrete manifolds. An example of how it works, it is done on the discrete torus, where usual Gauss and Stokes theorems are recovered. |
| Keywords and phrases: discrete calculus, discrete differential geometry.
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