2017/10/16 by Hernández, Rodrigo, Martín, María J.
#30C55 #31A05 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1710.05952
It is well-known that two locally univalent analytic functions φ and ψ have equal Schwarzian derivative if and only if there exists a non-constant Möbius transformation T such that φ=T∘ ψ. In this paper, we identify completely the relationship between two locally univalent harmonic mappings with equal (harmonic) Schwarzian derivative.