The Steiner Problem on a Surface

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Jiang Xin-yao. The Steiner Problem on a Surface[J]. Applied Mathematics and Mechanics, 1987, 8(10): 911-916.

Citation:

Jiang Xin-yao. The Steiner Problem on a Surface[J]. Applied Mathematics and Mechanics, 1987, 8(10): 911-916.

Citation:

Jiang Xin-yao. The Steiner Problem on a Surface[J]. Applied Mathematics and Mechanics, 1987, 8(10): 911-916.

Abstract

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 reaches the minimum, then the angles formed by every two arcs at P are all 120°.

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