TY - JOUR
T1 - The Character of Thurston’s Circle Packings with Obtuse Exterior Intersection Angles
AU - Liu , Chunlei
JO - Analysis in Theory and Applications
VL - 1
SP - 80
EP - 98
PY - 2025
DA - 2025/04
SN - 41
DO - http://doi.org/10.4208/ata.OA-2024-0046
UR - https://global-sci.org/intro/article_detail/ata/23959.html
KW - Character, Thurston’s circle packing, combinatorial Ricci flow, obtuse exterior intersection angles.
AB - <p style="text-align: justify;">We study the character of Thurston&#39;s circle packings with obtuse exterior
intersection angles, and we get some simple criteria for the existence of hyperbolic
circle packings. Moreover, the compactness theorem of combinatorial Ricci flows in
hyperbolic background geometry with the weight function $Φ ∈ [0, π)$ is obtained.
As a consequence, We generalize G. Lin&#39;s result [12] from acute exterior intersection
angles case to obtuse exterior intersection angles case.</p>