R^3中卵形闭曲面的等周亏格的上界的注记  

Remarks on an isoperimetric deficit upper limit of the oval closed surface in R^3

作　　者：戴勇[1] 马磊[2] 

机构地区：[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

出　　处：《纯粹数学与应用数学》2011年第5期600-602,608,共4页Pure and Applied Mathematics

基　　金：西南大学访学基金;黔南民族师范学院科研项目(QNSY0906)

摘　　要：利用R3中卵形结果的高斯曲率不等式以及著名的等周不等式,将R3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R3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.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.

关 键 词：等周不等式 等周亏格 高斯曲率 

分 类 号：O186.5[理学—数学]