Monotonicity conjecture for the Möbius metric under midpoint rotation in ring domains
Let R(r,1)R(r,1)R(r,1) be the annular ring with 0<r<10<r<10<r<1, let kkk satisfy r<k<1r<k<1r<k<1, and let qqq satisfy … For μ∈[0,π/2]\mu\in[0,\pi/2]μ∈[0,π/2], consider the two points qeμi+kqe^{\mu i}+kqeμi+k and qe(π+μ)i+kqe^{(\pi+\mu)i}+kqe(π+μ)i+k…