The asymptotic cones of manifolds of roughly non-negative radial curvature
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概要
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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.
- 社団法人 日本数学会の論文
- 2005-01-01
著者
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Nagano Koichi
Mathematical Institute Tohoku University
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Mashiko Yukihiro
Department Mathematics Faculty Of Science And Engineering Saga University
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OTSUKA Kazuo
Graduate School of Mathematics Kyushu University
関連論文
- THE AXIOM OF PLANE ON WARPED PRODUCT MODELS AND ITS APPLICATION
- Comparison geometry referred to warped product models
- The asymptotic cones of manifolds of roughly non-negative radial curvature