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Stationary geodesic networks are the analogs of closed geodesics whose domain is a graph instead of a circle. We prove that for a generic Riemannian metric on a smooth manifold $M$ regular stationary geodesic nets are non-degenerate.
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This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.
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