Locally strongly Lipschitz contractibility of Alexandrov spaces

Locally strongly Lipschitz contractibility of Alexandrov spaces
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亚历山德罗夫空间的局部强利普希茨收缩性

DOI:
10.1007/s10711-014-0017-9
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发表时间:
2014
期刊:
Pacific J.
影响因子:
--
通讯作者:
A. Mitsuishi and T. Yamaguchi
A. Mitsuishi and T. Yamaguchi
中科院分区:
--
文献类型:
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作者:
Josef F. Dorfmeister;Jun-ichi Inoguchi;Shimpei Kobayashi;Furuhata H.;Tokuji Araya;A. Mitsuishi and T. Yamaguchi

文献摘要

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我们给出了一个明确的估计面积的闭曲面的直径和下限的曲率。这比Calabi-Cao(J Differ Geom 36(3):517-549,1992)对非负弯曲双球面的估计要好。
We give an explicit estimate of the area of a closed surface by the diameter and a lower bound of curvature. This is better than Calabi–Cao’s (J Differ Geom 36(3): 517–549, 1992) estimate for a nonnegatively curved two-sphere.