Length bounded sweepouts give a way to bound the length of the shortest closed geodesic of a closed manifold. In this paper, we generalized to the case of compact 2-dimensional orbifolds homeomorphic to S² as well as compact 2-dimensional orbifolds with finite orbifold fundamental groups. We proved an inequality for the length of the shortest closed orbifold geodesic in terms of the diameter.
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Jinxuan Chen (2024) studied this question.
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