Abstract:
We study the density of closed geodesics property on 2-step nilmanifolds Γ\N, where N is a simply connected 2-step nilpotent Lie group with a left invariant Riemannian metric and Lie algebra ?, and Γ is a lattice in N. We show the density of closedgeodesics property holds for quotients of singular, simply connected, 2-step nilpotent Lie groups N which are constructed using irreducible representations of the compact Lie group SU(2).
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Received: 8 November 2000 / Revised version: 9 April 2001
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DeMeyer, L. Closed geodesics in compact nilmanifolds. manuscripta math. 105, 283–310 (2001). https://doi.org/10.1007/PL00005877
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DOI: https://doi.org/10.1007/PL00005877