Minimal Geodesics and Nilpotent Fundamental Groups

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dc.creatorAmmann, Bernd
dc.date1996-03-20
dc.date1999-11-16
dc.date.accessioned2026-07-07T09:02:48Z
dc.date.available2026-07-07T09:02:48Z
dc.descriptionHedlund 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.
dc.description23 pages, uses pstricks.sty
dc.identifierhttps://arxiv.org/abs/dg-ga/9603011
dc.identifierhttp://arxiv.org/abs/dg-ga/9603011
dc.identifierGeometriae Dedicata 67 no. 2, 129-148, 1997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148767
dc.subjectDifferential Geometry
dc.subject53C22 (Primary) 22E25, 22F18 (Secondary)
dc.titleMinimal Geodesics and Nilpotent Fundamental Groups
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