ABSTRACT
We use two flat structures constructed by Chern and Ricci to build harmonic functions on negatively curved minimal surfaces in . Our main goal is to establish two new uniqueness results that a minimal surface has constant first Chern–Ricci function if and only if it is Enneper’s surface and that a minimal surface has constant second Chern–Ricci function if and only if it is a member of the associate families of catenoids and helicoids.
Notes
No potential conflict of interest was reported by the authors.