The second closed geodesic on a complex projective plane

Hans-Bert Rademacher

Front. Math. China ›› 2008, Vol. 3 ›› Issue (2) : 253 -258.

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Front. Math. China ›› 2008, Vol. 3 ›› Issue (2) : 253 -258. DOI: 10.1007/s11464-008-0016-y
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The second closed geodesic on a complex projective plane

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Abstract

We show the existence of at least two geometrically distinct closed geodesics on a complex projective plane with a bumpy and non-reversible Finsler metric.

Keywords

Closed geodesic / energy functional / bumpy Finsler metric / Morse inequality / equivariant Morse theory

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Hans-Bert Rademacher. The second closed geodesic on a complex projective plane. Front. Math. China, 2008, 3(2): 253-258 DOI:10.1007/s11464-008-0016-y

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Duan H., Long Y. Multiple closed geodesics on bumpy Finsler n-spheres. J Diff Eq, 2007, 233: 221-240.

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Long Y. Multiplicity and stability of closed geodesics on Finsler 2-spheres. J Eur Math Soc, 2006, 8: 341-353.

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Rademacher H. B. On the average indices of closed geodesics. J Differential Geom, 1989, 29: 65-83.

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Rademacher H. B. Existence of closed geodesics on positively curved Finsler manifolds. Ergod Th & Dyn Syst, 2007, 27: 957-969.

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