Geodesic nets on the 2-sphere

Hass, Joel; Morgan, Frank

doi:10.1090/S0002-9939-96-03492-2

Geodesic nets on the 2-sphere
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by Joel Hass and Frank Morgan PDF

Proc. Amer. Math. Soc. 124 (1996), 3843-3850 Request permission

Abstract:

In this paper we introduce the concept of a geodesic net, an idea which plays the role among graphs that geodesics play among simple closed curves. We establish the existence of specific geodesic nets on the 2-sphere in certain cases.

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