具有环面边界的紧致可定向3-流形双曲性的确定

Q4 Mathematics

International Journal of Computational Geometry & Applications Pub Date : 2014-10-27 DOI:10.20382/jocg.v11i1a5

R. Haraway

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引用次数: 5

摘要

Thurston关于Haken流形的双曲化定理和法向曲面理论给出了一种确定由环面组成的非空边界紧致可定向3-流形内部是否存在完全有限体积双曲度规的算法。Gabai, Meyerhoff和Milley的猜想简化为使用该算法的计算。

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Determining hyperbolicity of compact orientable 3-manifolds with torus boundary

Thurston's hyperbolization theorem for Haken manifolds and normal surface theory yield an algorithm to determine whether or not a compact orientable 3-manifold with nonempty boundary consisting of tori admits a complete finite-volume hyperbolic metric on its interior. A conjecture of Gabai, Meyerhoff, and Milley reduces to a computation using this algorithm.

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来源期刊

International Journal of Computational Geometry & Applications 数学-计算机：理论方法

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The International Journal of Computational Geometry & Applications (IJCGA) is a quarterly journal devoted to the field of computational geometry within the framework of design and analysis of algorithms. Emphasis is placed on the computational aspects of geometric problems that arise in various fields of science and engineering including computer-aided geometry design (CAGD), computer graphics, constructive solid geometry (CSG), operations research, pattern recognition, robotics, solid modelling, VLSI routing/layout, and others. Research contributions ranging from theoretical results in algorithm design — sequential or parallel, probabilistic or randomized algorithms — to applications in the above-mentioned areas are welcome. Research findings or experiences in the implementations of geometric algorithms, such as numerical stability, and papers with a geometric flavour related to algorithms or the application areas of computational geometry are also welcome.