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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (10): 969-974.

• 论文 • 上一篇    下一篇

THE STEINER PROBLEM ON A SURFACE

蒋星耀   

  1. Shanghai University of Technology, Shanghai
  • 收稿日期:1986-02-26 出版日期:1987-10-18 发布日期:1987-10-18

THE STEINER PROBLEM ON A SURFACE

Jiang Xin-yao   

  1. Shanghai University of Technology, Shanghai
  • Received:1986-02-26 Online:1987-10-18 Published:1987-10-18

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摘要： In this paper we generalize the Steiner problem on planes to general regular surfaces. The main result isTheorem 1 If A, B,C are three points on a regular surface Σ and if another point P on Σ such that the sum of the lengths of the smooth arcs AP+ BP + CP reaches the minimum, then the angles formed by every two arcs at P are all 120°.

关键词: epidemic model, equilibrium, global asymptotical stability, limit system

Abstract: In this paper we generalize the Steiner problem on planes to general regular surfaces. The main result isTheorem 1 If A, B,C are three points on a regular surface Σ and if another point P on Σ such that the sum of the lengths of the smooth arcs AP+ BP + CP reaches the minimum, then the angles formed by every two arcs at P are all 120°.

Key words: epidemic model, equilibrium, global asymptotical stability, limit system

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