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- W2255843227 abstract "In this paper we study 1/k-geodesics, those closed geodesics that minimize on any subinterval of length $l(gamma)/k$. We employ energy methods to provide a relationship between the 1/k-geodesics and what we define as the balanced points of the uniform energy. We show that classes of balanced points of the uniform energy persist under the Gromov-Hausdorff convergence of Riemannian manifolds. Additionally, we relate half-geodesics (1/2-geodesics) to the Grove-Shiohama critical points of the distance function. This relationship affords us the ability to study the behavior of half-geodesics via the well developed field of critical point theory. Along the way we provide a complete characterization of the differentiability of the Riemannian distance function." @default.
- W2255843227 created "2016-06-24" @default.
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- W2255843227 date "2014-06-02" @default.
- W2255843227 modified "2023-09-26" @default.
- W2255843227 title "Minimizing Closed Geodesics via Critical Points of the Uniform Energy" @default.
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- W2255843227 hasPublicationYear "2014" @default.
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