圆形填料的射影刚度

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.aim.2024.110024

Francesco Bonsante, Michael Wolf

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引用次数: 0

摘要

证明了在至少为二格的曲面上与给定三角剖分相容的圆填料空间是射影刚性的，从而证明了在该复杂射影结构内，一个复杂射影表面上的填料是不可变形的。更广泛地说，我们证明了圆填充空间是该表面上复杂投影结构空间内的子流形。

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Projective rigidity of circle packings

We prove that the space of circle packings compatible with a given triangulation on a surface of genus at least two is projectively rigid, so that a packing on a complex projective surface is not deformable within that complex projective structure. More broadly, we show that the space of circle packings is a submanifold within the space of complex projective structures on that surface.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.