Abstract
We shall discuss the class of surfaces with holomorphic right Gauss maps in non-compact duals of compact semi-simple Lie groups (e.g. SL ( n , C ) / SU ( n ) \operatorname {SL}(n,\mathbf {C})/\operatorname {SU}(n) ), which contains minimal surfaces in R n \mathbf {R}^n and constant mean curvature 1 1 surfaces in H 3 \mathcal {H}^3 . A Weierstrass type representation formula and a Chern-Osserman type inequality for such surfaces are given.
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