| 双曲空间中Veljan-Korchmaros型不等式及应用 |
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| 引用本文： | 潘娟娟,杨世国. 双曲空间中Veljan-Korchmaros型不等式及应用[J]. 数学杂志, 2012, 32(4): 669-674 |
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| 作者姓名： | 潘娟娟 杨世国 |
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| 作者单位： | 1. 安徽大学数学科学学院,安徽合肥230039;安徽新华学院数理部,安徽合肥230088
2. 合肥师范学院数学系,安徽合肥,230061 |
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| 基金项目： | 国家自然科学基金，安徽省高校省级重点项目，安徽省高等学校省级自然科学基金 |
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| 摘 要： | 本文研究了双曲空间Hn(K)中n维高维单形的几何不等式问题.利用距离几何的理论与方法,获得了涉及n维双曲单形体积,侧面积与棱长的几个几何不等式,这些几何不等式是双曲单形几何不等式的基础.
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| 关 键 词： | 双曲空间 单形 不等式 |
THE VELJAN-KORCHMAROS INEQUALITY IN THE HYPERBOLIC SPACE AND ITS APPLICATIONS |
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| Pan Juan-juan , YANG Shi-guo. THE VELJAN-KORCHMAROS INEQUALITY IN THE HYPERBOLIC SPACE AND ITS APPLICATIONS[J]. Journal of Mathematics, 2012, 32(4): 669-674 |
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| Authors: | Pan Juan-juan YANG Shi-guo |
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| Affiliation: | 1.School of Mathematical Sciences,Anhui University,Hefei 230039,China)(2.Department of Mathematics and Physics,Anhui Xinhua University,Hefei 230088,China)(3.Department of Mathematics,Hefei Teachers College,Hefei 230061,China) |
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| Abstract: | In this paper,we study the problem about geometric inequalities for an ndimensional simplex in the hyperbolic space Hn(K).By using the theory and method of distance geometry,some geometric inequalities for volume,edge-lengths of an n-dimensional simplex in the Hyperbolic space are established,which are the base of research of geometric inequalities for hyperbolic simplices. |
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| Keywords: | hyperbolic space simplex inequality |
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