数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (4): 415-421.
王继春
Wang Jichun
摘要: In this paper, we suggested exact-volume differential form (for short:EVDF) and proved four theorems correlative with them:1. existence theorem, 2. cohomology theorem,3. constant multiple theorem, and 4. equal gauge theorem. And their application were discussed also. For examlpe, we deduced the particle dynamic equation of the special theory of relativity. At the same time we analyzed and contrasted cohomology theory with Hamilton's variational principle. The contrast showed the superiority of cohomology theory. Moreover,we gave a more complete classification list of differential forms.