Mathematics – Differential Geometry
Scientific paper
1996-03-20
Geometriae Dedicata 67 no. 2, 129-148, 1997
Mathematics
Differential Geometry
23 pages, uses pstricks.sty
Scientific paper
Hedlund constructed Riemannian metrics on n-tori, $n \geq 3$ 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 are optimal for nilpotent fundamental
groups.
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