v 1 2 0 M ar 1 99 6 Minimal Geodesics and Nilpotent Fundamental Groups ∗ Bernd Ammann March 1996
نویسنده
چکیده
Hedlund [He] constructed Riemannian metrics on n-tori, n ≥ 3 for 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 [Ba2] are optimal for nilpotent fundamental groups.
منابع مشابه
Minimal Geodesics and Nilpotent Fundamental Groups
Hedlund 18] constructed Riemannian metrics on n-tori, n 3 for 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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