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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… Click to show full 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 us to improve our bound on the length of the shortest closed geodesic in the pinched curvature setting.
Keywords:
shortest closed;
curved spheres;
geodesic positively;
length shortest;
positively curved;
closed geodesic
Journal Title: Mathematische Zeitschrift
Year Published: 2021
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!