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math.MG2019
Geodesic Nets: Some Examples and Open Problems
Alexander Nabutovsky, Fabian Parsch
Geodesic nets on Riemannian manifolds form a natural class of stationary objects generalizing geodesics. Yet almost nothing is known about their classification or general propertie…
math.MG2019
An example for a nontrivial irreducible geodesic net in the plane
Fabian Parsch
We construct a geodesic net in the plane with four unbalanced (boundary) vertices that has 16 balanced vertices and does not contain proper geodesic subnets. This is the first exam…