Minimal Geodesics and Nilpotent Fundamental Groups

Bernd Ammann

Minimal Geodesics and Nilpotent Fundamental Groups

dg-ga 2008-02-03 v2 Differential Geometry

Authors: Bernd Ammann

Abstract

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.

Keywords

nilpotent groups

Cite

@article{arxiv.dg-ga/9603011,
  title  = {Minimal Geodesics and Nilpotent Fundamental Groups},
  author = {Bernd Ammann},
  journal= {arXiv preprint arXiv:dg-ga/9603011},
  year   = {2008}
}

Comments

23 pages, uses pstricks.sty

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