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arXiv:2006.04849 [math.DG]AbstractReferencesReviewsResources

The length of the shortest closed geodesic on positively curved 2-spheres

Ian Adelstein, Franco Vargas Pallete

Published 2020-06-08Version 1

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 us to improve our bound on the length of the shortest closed geodesic in the pinched curvature setting.

Comments: 11 pages, 1 figure. Comments are welcome!
Categories: math.DG
Subjects: 53C22, 53C23
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