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关于平面卵形区域的等周亏格上界的几点注记 被引量：1

Some Remarks on the Isoperimetric Deficit Upper Bounds of the Plane Oval Domain
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摘要 利用平面卵形区域的Ros'定理及其加强形式,给出平面R^2中卵形区域的等周亏格的几个上界估计. Based on Ros＇ theorem and strengthen forms of the oval domain, we obtain some upper bounds of the isoperimetric deficit of the plane oval domain.
作者 戴勇 姚惠
机构地区 黔南民族师范学院数学系
出处 《数学的实践与认识》 CSCD 北大核心 2013年第1期188-191,共4页 Mathematics in Practice and Theory
基金 西南大学访学基金 黔南民族师范学院科研项目(QNSY0906)
关键词 等周不等式 等周亏格 Ros’定理 卵形区域 isoperimetric inequality isoperimetric deficit Ros＇ theorem oval domain
分类号 O186.11 [理学—基础数学]
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参考文献12

  • 1Burago Y,Zalgaller V,Zalgaller V. Geometric Inequalities[M].Beilin:Springer-Verlag,1988.
  • 2Do Carmo M. Differential Geometry of Curves and Surface[M].New Jersey:Princeton-Hall,Inc,1976.
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  • 10周家足.平面Bonnesen型不等式[J].数学学报（中文版）,2007,50(6):1397-1402. 被引量：33

二级参考文献43

  • 1Burago Y. D., Zalgaller V. A., Geometric Inequalities, New York: Springer-Verlag, 1988.
  • 2Zhou J., On the Willmore deficit of convex surfaces, Lectures in Appl. Math. of Amer. Math. Soc., 1994, 8: 279-287.
  • 3Zhou J., On Willmore inequalities for submanifolds, Canadian Mathematical Bulletin, 2007, 50(3): 474-480.
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  • 10Osserman R., Curvature in the eighties, Amer. Math. Monthly, 1990, 97(8): 731-756.

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数学的实践与认识
2013年 第1期

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