| R3中卯形闭曲面的等周亏格的上界的注记 |
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| 引用本文： | 戴勇,马磊.R3中卯形闭曲面的等周亏格的上界的注记[J].纯粹数学与应用数学,2011,27(5):600-602,608. |
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| 作者姓名： | 戴勇 马磊 |
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| 作者单位： | 1. 黔南民族师范学院数学系,贵州都匀,558000
2. 广东石油化工学院高州师范学院,广东高州,525200 |
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| 基金项目： | 西南大学访学基金，黔南民族师范学院科研项目 |
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| 摘 要： | 利用R^3中卵形结果的高斯曲率不等式以及著名的等周不等式，将R^3中卵形闭曲面的高斯曲率K应用到空间曲面的等周亏格的上界估计中，得到了R^3中卵形闭曲面的等周亏格的一个新的上界，并给出其简单证明．
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| 关 键 词： | 等周不等式 等周亏格 高斯曲率 |
Remarks on an isoperimetric deficit upper limit of the oval closed surface in R3 |
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| DAI Yong ,MA Lei.Remarks on an isoperimetric deficit upper limit of the oval closed surface in R3[J].Pure and Applied Mathematics,2011,27(5):600-602,608. |
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| Authors: | DAI Yong MA Lei |
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| Institution: | DAI Yong 1,MA Lei 2(1.Department of Mathematics Qiannan Normal College for Nationalities,Duyun 558000,China,2.Department of Mathematics and Computer,Gaozhou Normal College,Guangdong University of Petrochemical Technology,Gaozhou 525200,China) |
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| Abstract: | In this paper, Gaussian curvature K of the oval closed surfaces in Ra is applied to upper bound estimate of isoperimetric deficit, then, we obtain a new isoperimetric deficit upper limit results of the oval closed surfaces in R3 by using the Gauss-curvature inequality results of the oval closed surfaces and the classical isoperimrtric inequality in R3, and we also give a simplified proof. |
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| Keywords: | isoperimetric inequality isoperimetric deficit Gauss-curvature |
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