Combinatorial Ricci flow on compact 3-manifolds with boundary
نویسندگان
چکیده
Combinatorial Ricci flow on an ideally triangulated compact 3-manifold with boundary was introduced by Luo as a 3-dimensional analogue of Chow-Luo's combinatorial surface and conjectured to find algorithmically the hyperbolic metric totally geodesic boundary. In this paper, we prove Luo's conjecture affirmatively extending through singularities if admits such metric.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109556