journal6 ›› 2007, Vol. 28 ›› Issue (2): 3-5.

• 数学 • 上一篇    下一篇

二维常曲率空间中的一组几何不等式

  

  1. (南京财经大学应用数学系,江苏 南京 210003)
  • 出版日期:2007-03-25 发布日期:2012-06-18

Some Geometric Inequalities in 2-Dimensional Constant Curvature Space

  1. (Nanjing University of Finance and Economics,Nanjing 210003,China)
  • Online:2007-03-25 Published:2012-06-18
  • About author:WANG Geng(1960-),male,was born in Tongcheng City,Anhui Province,professor of Nanjing University of Finance and Economics;research areas are metric geometry and nonlinear differential equation.
  • Supported by:

    The National Natural Science  Foundation of China (70471071)

摘要:对于二维常高斯曲率空间Σ上的测地三角形,研究了其内角的优超关系,并运用优超理论得到了若干新的关于其三内角的几何不等式.

关键词: 高斯曲率, 测地三角形, 舒尔凸

Abstract: For geodesic triangle in 2-dimensional constant curvature space Σ,the author improves some geometric inequalities on its interior angle by theory of majorization.

Key words: Gauss curvature, geodesic triangle, Schur convex

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