Geometry of the Gromov product : Geometry at infinity of Teichmuller space

DOI Web Site 参考文献38件
  • Miyachi Hideki
    Department of Mathematics, Graduate School of Science, Osaka University

書誌事項

タイトル別名
  • Geometry of the Gromov product: Geometry at infinity of Teichmüller space

この論文をさがす

抄録

<p>This paper is devoted to studying transformations on metric spaces. It is done in an effort to produce qualitative version of quasi-isometries which takes into account the asymptotic behavior of the Gromov product in hyperbolic spaces. We characterize a quotient semigroup of such transformations on Teichmüller space by use of simplicial automorphisms of the complex of curves, and we will see that such transformation is recognized as a “coarsification” of isometries on Teichmüller space which is rigid at infinity. We also show a hyperbolic characteristic that any finite dimensional Teichmüller space does not admit (quasi)-invertible rough-homothety.</p>

収録刊行物

参考文献 (38)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ