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TITLE The uniqueness of Enneper's surfaces and Chern-Ricci functions on minimal surfaces
KIAS AUTHORS Lee, Hojoo
JOURNAL COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019
ARCHIVE  
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.
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