The length of the shortest closed geodesic on positively curved 2-spheres
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DOI: 10.1007/s00209-021-02875-8
Abstract: We show that the shortest closed geodesic on a 2-sphere with non-negative curvature has length bounded above by three times the diameter. We prove a new isoperimetric inequality for 2-spheres with pinched curvature; this allows… read more here.
Keywords: shortest closed; curved spheres; geodesic positively; length shortest ... See more keywords