Abstract
We study -geodesics, those closed geodesics that minimize on any subinterval of length , where is the length of the geodesic. We investigate the existence and behavior of these curves on doubled polygons and show that every doubled regular -gon admits a -geodesic. For the doubled regular -gons, with an odd prime, we conjecture that is the minimum value for such that the space admits a -geodesic.
Citation
Ian M. Adelstein. Adam Y. W. Fong. "Closed geodesics on doubled polygons." Involve 12 (7) 1219 - 1227, 2019. https://doi.org/10.2140/involve.2019.12.1219
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