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An analogue of minimal surface theory in SL(n,C)/SU(n) by Kokubu, Masatoshi; Takahashi, Masaro; Umehara, Masaaki; Yamada, Kotaro is a scholarly article available to read on EtoBox.

What is An analogue of minimal surface theory in SL(n,C)/SU(n) about?

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 R^n and constant mean curvature 1 surfaces in H^3. A Weierstrass type representation formula, and a Chern-Osserman type inequality for such surfaces are given.

Author

Kokubu, Masatoshi; Takahashi, Masaro; Umehara, Masaaki; Yamada, Kotaro

Published

2000

Language

EN