The second closed geodesic on a complex projective plane

DOI10.1007/S11464-008-0016-YzbMath1148.53028OpenAlexW2112035936MaRDI QIDQ942949

Hans-Bert Rademacher

Publication date: 8 September 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0016-y

zbMATH Keywords

closed geodesicscomplex projective planebumpy Finsler metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric ⋮ Index iteration theories for periodic orbits: old and new ⋮ The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds ⋮ Multiple closed geodesics on positively curved Finsler manifolds ⋮ The index growth and multiplicity of closed geodesics ⋮ The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\)

Cites Work

• Multiple closed geodesics on bumpy Finsler \(n\)-spheres
• On the average indices of closed geodesics
• Multiplicity and stability of closed geodesics on Finsler 2-spheres
• The existence of two closed geodesics on every Finsler 2-sphere
• The second closed geodesic on Finsler spheres of dimension 𝑛>2
• Geometry of the Katok examples
• Existence of closed geodesics on positively curved Finsler manifolds

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