Author： Ammann B.
Publisher： Springer Publishing Company
ISSN： 0046-5755
Source： Geometriae Dedicata, Vol.67, Iss.2, 1997-09, pp. : 129-148
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Abstract
Hedlund [18] constructed Riemannian metrics on n-tori, n ≥ 3for which minimal geodesics are very rare. In this paper we construct similar examples for every nilpotent fundamental group. These examples show that Bangert's existence results of minimal geodesics [4] are optimal for nilpotent fundamental groups.
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