THE SECOND CLOSED GEODESIC ON FINSLER SPHERES OF DIMENSION n > 2

By H. Rademacher. 2006

46 citations recorded by the source corpus.

We show the existence of at least two geometrically distinct closed geodesics on an n-dimensional sphere with a bumpy and non-reversible Finsler metric for n > 2. 2000 MSC classification: 53C22; 53C60; 58E10

Subfields: Applied Mathematics, Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/2a262f6365255458fc2d9e1f405f9aeef9f5f3db

How researchers see this paper

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In Applied Mathematics

1. Huagui Duan
2. Wei Wang
3. Y. Long
4. Chun-gen Liu

In Astronomy and Astrophysics

1. Huagui Duan
2. Wei Wang
3. Y. Long

In Molecular Biology

1. Huagui Duan
2. Y. Long
3. Wei Wang

Citations in the corpus

• The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds (2015, methodology): “sics possesses non-zero Morse index. Note that the monotonicity of iterated Morse indices of closed geodesics has played an important and crucial role in many studies on closed geodesics (cf. [DuL1], [Rad6] and [Wan1])-[Wan2]. For example, Rademacher in [Rad6] and Wang in [Wan1]-[Wan2] used the mono”