1 Excerpt

- Published 2007

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.

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