| （p，q）型Minkowski空间的双曲Euler公式与反向Schwarz不等式 |
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| 引用本文： | 李武明,许宁.（p，q）型Minkowski空间的双曲Euler公式与反向Schwarz不等式[J].通化师范学院学报,2010,31(4):9-10,23. |
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| 作者姓名： | 李武明 许宁 |
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| 作者单位： | 通化师范学院,数学系,吉林,通化,134002 |
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| 基金项目： | 吉林省教育厅科研项目 |
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| 摘 要： | 由Clifford代数Clp,q的生成空间R^p,q表述（p，q）型Minkowski空间，讨论（p，q）型Minkowski空间的性质．给出（p，q）型Minkowski空间Rq^n的双曲Euler公式；得到反向Sehwarz不等式在Rq^n＋中成立的一个充分必要条件及相关推论．
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| 关 键 词： | Clifford代数 Minkowski空间 双曲Euler公式 反向Schwarz不等式 |
The Hyperbolic Euler Formula and Reversed Schwarz Inequality in Minkowski Space with (p,q) Form |
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| LI Wu-ming,XU Ning.The Hyperbolic Euler Formula and Reversed Schwarz Inequality in Minkowski Space with (p,q) Form[J].Journal of Tonghua Teachers College,2010,31(4):9-10,23. |
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| Authors: | LI Wu-ming XU Ning |
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| Institution: | LI Wu-ming,XU Ning(Department of Mathematics,Tonghua Normal University,Tonghua,Jilin 134002,China) |
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| Abstract: | In this paper,the Minkowski space with(p,q) form is expressed by using generalized space Rp,q of Clifford algebra Clp,q.The property of Minkowski Space with(p,q) form is discussed and the hyperbolic Euler formula in Minkowski space Rnq with(p,q) form is given.Finally,the necessary and sufficient conditions of the reversed Schwarz inequality which is tenable in Rn+q and relevant deductions are generalized. |
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| Keywords: | Clifford algebra Minkowski space hyperbolic Euler formula reversed Schwarz inequality |
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