ワタナベ　マサヨシ   Masayoshi Watanabe   渡辺　正芳    所属   石巻専修大学  理工学部    職種   准教授
言語種別	日本語
発行・発表の年月	2007
形態種別	研究論文（学術雑誌）
査読	査読あり
標題	Local cut points and metric measure spaces with Ricci curvature bounded below
執筆形態	単著
掲載誌名	Pacific Journal of Mathematics
巻・号・頁	233(1),229-256頁
概要	A local cut point is by definition a point that disconnects its sufficiently small neighborhood. We show that there exists an upper bound for the degree of a local cut point in a metric measure space satisfying the generalized Bishop-Gromov inequality. As a corollary, we obtain an upper bound for the number of ends of such a space. We also obtain some obstruction conditions for the existence of a local cut point in a metric measure space satisfying the Bishop-Gromov inequality or the Poincare inequality. For example, the measured Gromov-Hausdorff limits of Riemannian manifolds with a lower Ricci curvature bound satisfy these two inequalities.