| EXACT－VOLUME DIFFERENTIAL FORM DE RHAM COHOMOLOGY AND HAMILTON VARIATIONAL PRINCIPLE |
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| 引用本文： | 王继春.EXACT－VOLUME DIFFERENTIAL FORM DE RHAM COHOMOLOGY AND HAMILTON VARIATIONAL PRINCIPLE[J].数学物理学报(B辑英文版),1995(4). |
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| 作者姓名： | 王继春 |
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| 作者单位： | Dept.Math.Phys.of Wuhan Unly.of Technology，Wuhan 430070，China. |
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| 摘 要： | ＥＸＡＣＴ－ＶＯＬＵＭＥＤＩＦＦＥＲＥＮＴＩＡＬＦＯＲＭＤＥＲＨＡＭＣＯＨＯＭＯＬＯＧＹＡＮＤＨＡＭＩＬＴＯＮＶＡＲＩＡＴＩＯＮＡＬＰＲＩＮＣＩＰＬＥＷａｎｇＪｉｃｈｕｎ（王继春）（Ｄｅｐｔ．Ｍａｔｈ．Ｐｈｙｓ．ｏｆＷｕｈａｎＵｎｌｙ．ｏｆＴｅｃｈｎ...
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EXACT-VOLUME DIFFERENTIAL FORM DE RHAM COHOMOLOGY AND HAMILTON VARIATIONAL PRINCIPLE |
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| Wang Jichun.EXACT-VOLUME DIFFERENTIAL FORM DE RHAM COHOMOLOGY AND HAMILTON VARIATIONAL PRINCIPLE[J].Acta Mathematica Scientia,1995(4). |
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| Authors: | Wang Jichun |
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| Abstract: | 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. |
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| Keywords: | exact-volume differential form cohomology |
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