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A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group
Cheng, Jih-Hsin.  Journal fur die reine und angewandte Mathematik (Crelles Journal).  v. Volume 2012. no. Number 671.   2012. p. 131 - 198... issn: 0075-4102 .   

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