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- W3199694003 abstract "We prove that a geodesic net with three boundary (= unbalanced) vertices on a non-positively curved plane has at most one balanced vertex. We do not assume any a priori bound for the degrees of unbalanced vertices. The result seems to be new even in the Euclidean case. We demonstrate by examples that the result is not true for metrics of positive curvature on the plane, and that there are no immediate generalizations of this result for geodesic nets with four unbalanced vertices." @default.
- W3199694003 created "2021-09-27" @default.
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- W3199694003 date "2021-09-01" @default.
- W3199694003 modified "2023-09-23" @default.
- W3199694003 title "Geodesic nets with three boundary vertices" @default.
- W3199694003 doi "https://doi.org/10.4310/jdg/1631124286" @default.
- W3199694003 hasPublicationYear "2021" @default.
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