Abstract
We investigate the distribution of length of closed geodesics on geodesic spheres and tubes around complex hyperplane in a non-flat complex space form. The feature of the length spectrum of a geodesic sphere of radius r in a complex projective space of holomorphic sectional curvature 4 is quite different according as tan2r is rational or irrational. Each length spectrum is simple when tan2r is irrationaj but when tan2r is rationaj it is not necessarily simple and moreover the multiplicity is not uniformly bounded.
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