2002年10月
Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below
MATHEMATISCHE ZEITSCHRIFT
- ,
- 巻
- 241
- 号
- 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
- ID情報
-
- DOI : 10.1007/s002090200418
- ISSN : 0025-5874
- Web of Science ID : WOS:000179186200006