关于“广义度量加”的一类几何不等式

J4 ›› 2011, Vol. 46 ›› Issue (6): 75-78.

关于“广义度量加”的一类几何不等式

杨世国1,齐继兵1,王文2*

1.合肥师范学院数学系, 安徽合肥 230061; 2.安徽大学数学科学学院, 安徽合肥 230039

收稿日期:2010-05-14 出版日期:2011-06-16 发布日期:2011-12-19
通讯作者: 王文(1985- ),男,硕士研究生,研究方向为距离几何. Email:wangwen0811@163.com
作者简介:杨世国(1952- ),男,教授,主要从事距离几何研究. Email:yangshiguo2009@163.com
基金资助:
国家自然科学基金资助项目(60671051);安徽省高校省级重点资助项目(KJ2009A45)

A class of geometric inequalities about generalized metric addition

YANG Shiguo1, QI Jibing1, WANG Wen2*

1. Department of Mathematics, Hefei Teachers College, Hefei 230061， Anhui, China;
2. School of Mathematical Sciences, Anhui University, Hefei 230039, Anhui, China

Received:2010-05-14 Online:2011-06-16 Published:2011-12-19

摘要/Abstract

摘要：

研究了欧氏空间中n维单形的“广义度量加”问题, 应用度量几何的理论与方法建立了“广义度量加”有关单形体积的一类几何不等式, 推广了关于单形“广义度量加”已有的结果。

关键词: 单形;体积;广义度量加;几何不等式

Abstract:

The problem about generalized metric addition of n-simplex in Euclidean space En is investigated, one class of geometric inequalities on generalized metric addition about simplex volume is obtained, which generalizes the known results about simplex generalized metric and metric addition.

Key words: simplex; volume; generalized metric addition; geometric inequality

杨世国1,齐继兵1,王文2*. 关于“广义度量加”的一类几何不等式[J]. J4, 2011, 46(6): 75-78.

YANG Shiguo1, QI Jibing1, WANG Wen2*. A class of geometric inequalities about generalized metric addition[J]. J4, 2011, 46(6): 75-78.

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