Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure
نویسنده
چکیده
We continue the study of the distribution of closed geodesics on nilmanifolds Γ\N , constructed from a simply connected 2-step nilpotent Lie group N with a left invariant metric and a lattice Γ in N . We consider a Lie group N with associated 2-step nilpotent Lie algebra N constructed from an irreducible representation of a compact semisimple Lie algebra g0 on a real finite dimensional vector space U . We determine sufficient conditions on the semisimple Lie algebra g0 for Γ\N to have the density of closed geodesics property where Γ is a lattice arising from a Chevalley rational structure on N.
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