COLLAPSING THREE-MANIFOLDS WITH A LOWER CURVATURE BOUND

• SHIOYA TAKASHI

  Mathematical Institute, Tohoku University

抄録

We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusing on the three-dimensional case. We also explain the basics of Seifert manifolds and Alexandrov spaces quickly and a key idea of our proof of the volume collapsing theorem.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 63 (4), 471-487, 2011

  東北大学大学院理学研究科数学専攻

キーワード

• The volume collapsing theorem
• Alexandrov spaces
• the geometrization conjecture

詳細情報

• CRID: 1390001205117166592
• NII論文ID: 110008764857
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1325886277
• ISSN: 2186585X
• ISSN: 00408735
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可