Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles

Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles
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3维双曲锥体结构随锥角递减的退化

DOI:
10.1090/ecgd/375
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发表时间:
2022
期刊:
Conformal Geometry and Dynamics of the American Mathematical Society
影响因子:
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通讯作者:
Yoshida Ken’ichi
Yoshida Ken’ichi
中科院分区:
--
文献类型:
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作者:
Gao Yueyuan;Yoshinaga Natsuhiko;Yueyuan Gao;Yueyuan Gao;Yoshida Ken’ichi

文献摘要

相似文献

对于具有锥角的三维双曲锥体结构,已知的是局部刚度,而整体刚度仅为。Kojima对整体刚性的证明是基于这样一个事实:锥角最大的双曲锥体结构不会在将锥角减小到零的变形中退化。
For 3-dimensional hyperbolic cone structures with cone angles, local rigidity is known for, but global rigidity is known only for. The proof of the global rigidity by Kojima is based on the fact that hyperbolic cone structures with cone angles at mostdo not degenerate in deformations decreasing cone angles to zero.