A generalization of Stokes theorem on combinatorial manifolds
| dc.creator | Mao, Linfan | |
| dc.date | 2007-03-14 | |
| dc.date.accessioned | 2026-07-07T07:51:53Z | |
| dc.date.available | 2026-07-07T07:51:53Z | |
| dc.description | For an integer $m\geq 1$, a combinatorial manifold $\widetilde{M}$ is defined to be a geometrical object $\widetilde{M}$ such that for $\forall p\in\widetilde{M}$, there is a local chart $(U_p,ϕ_p)$ enable $ϕ_p:U_p\to B^{n_{i_1}}\bigcup B^{n_{i_2}}\bigcup...\bigcup B^{n_{i_{s(p)}}}$ with $B^{n_{i_1}}\bigcap B^{n_{i_2}}\bigcap...\bigcap B^{n_{i_{s(p)}}}\not=\emptyset$, where $B^{n_{i_j}}$ is an $n_{i_j}$-ball for integers $1\leq j\leq s(p)\leq m$. Integral theory on these smoothly combinatorial manifolds are introduced. Some classical results, such as those of {\it Stokes'} theorem and {\it Gauss'} theorem are generalized to smoothly combinatorial manifolds in this paper. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703400 | |
| dc.identifier | http://arxiv.org/abs/math/0703400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125679 | |
| dc.subject | General Mathematics | |
| dc.subject | Differential Geometry | |
| dc.subject | 51M15, 53B15, 53B40, 57N16 | |
| dc.title | A generalization of Stokes theorem on combinatorial manifolds | |
| dc.type | text |