A Generalization of ̧ Stokes Theorem on Combinatorial Manifolds ̧

Abstract

Abstract: For an integer m ≥ 1, a combinatorial manifold M̃ is defined to be a geometrical object M̃ such that for ∀p ∈ M̃ , there is a local chart (Up, φp) enable φp : Up → B ni1 ⋃ Bi2 ⋃ · · · ⋃ B is(p) with Bi1 ⋂ Bi2 ⋂ · · · ⋂ B is(p) 6= ∅, where Bij 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.

Cite this paper

@inproceedings{Mao2007AGO, title={A Generalization of ̧ Stokes Theorem on Combinatorial Manifolds ̧}, author={Linfan Mao}, year={2007} }