We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: LusternikSchnirelmanns theorem asserting the existence of three simple closed geodesics, and Bangert-Franks-Hingstons theorem asserting the existence of innitely many closed geodesics. In order to prove the rst theorem, we employ the generalization of Graysons curve shortening ow developed by Angenent-Oaks.
Closed geodesics on reversible Finsler 2-spheres
Michele Marini;
2022-01-01
Abstract
We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: LusternikSchnirelmanns theorem asserting the existence of three simple closed geodesics, and Bangert-Franks-Hingstons theorem asserting the existence of innitely many closed geodesics. In order to prove the rst theorem, we employ the generalization of Graysons curve shortening ow developed by Angenent-Oaks.File in questo prodotto:
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