Bounding Shortest Closed Geodesics with Diameter on Compact 2-Dimensional Orbifolds Homeomorphic to S²

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.