The asymptotic cones of manifolds of roughly non-negative radial curvature

• MASHIKO Yukihiro

  Department Mathematics Faculty of Science and Engineering Saga University

• NAGANO Koichi

  Mathematical Institute Tohoku University

• OTSUKA Kazuo

  Graduate School of Mathematics Kyushu University

Bibliographic Information

Other Title

• asymptotic cones of manifolds of roughly non negative radial curvature

Abstract

We prove that the asymptotic cone of every complete, connected, non-compact Riemannian manifold of roughly non-negative radial curvature exists, and it is isometric to the Euclidean cone over their Tits ideal boundaries.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 57 (1), 55-68, 2005

  The Mathematical Society of Japan

Keywords

• Comparison geometry
• asymptotic cones
• Tits ideal boundary
• Alexandrov spaces

Details

• CRID: 1390282680091922688
• NII Article ID: 10016419579
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1160745813
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2114720
• NDL BIB ID: 7226395
• Web Site: http://id.ndl.go.jp/bib/7226395
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7226395
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed