An analogue of minimal surface theory in SL(n,C)/SU(n)
Abstract
We shall discuss the class of surfaces with holomorphic right Gauss maps in non-compact duals of compact semisimple Lie groups (e.g. SL(n,C)/SU(n)), which contains minimal surfaces in Rn and constant mean curvature 1 surfaces in H3. A Weierstrass type representation formula, and a Chern-Osserman type inequality for such surfaces are given.
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