Collapsing three-manifolds with a lower curvature bound

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概要

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• 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.

著者

• Shioya Takashi

  Mathematical Institute Tohoku University

関連論文

• A topological splitting theorem for weighted Alexandrov spaces
• Collapsing three-manifolds with a lower curvature bound
• Convergence of Alexandrov spaces and spectrum of Laplacian

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