MISC

2002年10月

Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below

MATHEMATISCHE ZEITSCHRIFT
  • K Shiohama
  • ,
  • M Tanaka

241
2
開始ページ
341
終了ページ
351
記述言語
英語
掲載種別
DOI
10.1007/s002090200418
出版者・発行元
SPRINGER-VERLAG

Let M be a complete open n-manifold with a base point p, at which the radial sectional curvature along every minimizing geodesic emanating from p is bounded below by the radial curvature function of a model surface. We discuss the maximal diameter theorem for the compactification of M by attaching the ideal boundary. Under certain conditions we prove that p becomes a pole and that M is isometric to the n-model.

リンク情報
DOI
https://doi.org/10.1007/s002090200418
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000179186200006&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s002090200418
  • ISSN : 0025-5874
  • Web of Science ID : WOS:000179186200006

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