Applied Mathematics and Mechanics

, Volume 8, Issue 10, pp 969–974 | Cite as

The Steiner problem on a surface

  • Jiang Xin-yao


In this paper we generalize the Steiner problem on planes to general regular surfaces. The main result is

Theorem 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 Open image in new window reaches the minimum, then the angles formed by every two arcs at P are all 120°.


Connected Graph Minimal Tree Steiner Point Unit Tangent Vector Regular Surface 
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Copyright information

© Shanghai University of Technology (SUT) 1987

Authors and Affiliations

  • Jiang Xin-yao
    • 1
  1. 1.Shanghai University of TechnologyShanghai

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