Computing and Visualizing Constant-Curvature Metrics on Hyperbolic 3-Manifolds with Boundaries

@inproceedings{Yin2008ComputingAV,
  title={Computing and Visualizing Constant-Curvature Metrics on Hyperbolic 3-Manifolds with Boundaries},
  author={Xiaotian Yin and Miao Jin and Feng Luo and Xianfeng Gu},
  booktitle={ISVC},
  year={2008}
}
Almost all three dimensional manifolds admit canonical metricswith constant sectional curvature. In this paper we proposed a newalgorithm pipeline to compute such canonical metrics for hyperbolic3-manifolds with high genus boundary surfaces. The computation isbased on the discrete curvature flow for 3-manifolds, where themetric is deformed in an angle-preserving fashion until thecurvature becomes uniform inside the volume and vanishes on theboundary. We also proposed algorithms to visualize the… CONTINUE READING

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