Geometry

   

A Generalization of Stokes Theorem on Combinatorial Manifolds

Authors: Linfan Mao

For an integer m > 1, a combinatorial manifold fM is defined to be a geometrical object fM such that for(...) there is a local chart (see paper) where Bnij is an nij -ball for integers 1 < j < s(p) < m. Integral theory on these smoothly combinatorial manifolds are introduced. Some classical results, such as those of Stokes' theorem and Gauss' theorem are generalized to smoothly combinatorial manifolds in this paper.

Comments: 16 pages

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Submission history

[v1] 19 Apr 2011

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