In this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infinitely many prime closed geodesics or there exist at least two irrationally elliptic prime closed geodesics. (C) 2008 Elsevier Inc. All rights reserved.MathematicsSCI(E)6ARTICLE3620-64125
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AbstractIn this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infin...
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In 1973, Katok constructed a non-degenerate (also called bumpy) Finsler metric on $S^3$ with exactly...
There are two main approaches to solve the problem of finding closed geodesics on a Riemannian manif...
We show that on every compact Riemannian 2-orbifold there exist infinitely many closed geodesics of ...
Using the theory of geodesics on surfaces of revolution, we introduce the period function. We use th...
AbstractIn this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infin...
In this paper, we prove that for every Finsler n-sphere (S-n, F) for n >= 3 with reversibility X ...
AbstractThis paper is devoted to a study on closed geodesics on Finsler and Riemannian spheres. We c...
In this paper, we prove that on every Finsler n-sphere (S (n) , F) for n a parts per thousand yen 6 ...
In this paper, we prove that on every Finsler n-sphere (S(n), F) with reversibility lambda satisfyin...
AbstractIn the recent paper [31] of Long and Duan (2009), we classified closed geodesics on Finsler ...
In this paper, we prove that for every bumpy Finsler 2k-sphere (S-2K, F) with reversibility lambda a...
AbstractIn this paper we prove that for every bumpy Finsler metric F on every rationally homological...
51 pages, 4 figuresWe extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to ...
Abstract. Using the theory of geodesics on surfaces of revolution, we show that any two-dimensional ...
We prove the existence of at least two distinct closed geodesics on a compact simply connected manif...
In 1973, Katok constructed a non-degenerate (also called bumpy) Finsler metric on $S^3$ with exactly...
There are two main approaches to solve the problem of finding closed geodesics on a Riemannian manif...
We show that on every compact Riemannian 2-orbifold there exist infinitely many closed geodesics of ...
Using the theory of geodesics on surfaces of revolution, we introduce the period function. We use th...