Research examines combinatorial yamabe flow, revealing fast convergence in hyperbolic surfaces, suggesting new algorithms for boundary constraints.
This paper studies the combinatorial Yamabe flow on hyperbolic bordered surfaces. We show that the flow exists for all time and converges exponentially fast to a conformal factor which produces a hyperbolic surface whose lengths of boundary components are equal to the prescribed positive numbers. This provides an algorithm to such problems.
No takes yet. Share an insight, caveat, or question.
Li et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: