An analogue of minimal surface theory in SL(n,C)/SU(n)
Differential Geometry
2007-05-23 v3
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 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.
Keywords
Cite
@article{arxiv.math/0008016,
title = {An analogue of minimal surface theory in SL(n,C)/SU(n)},
author = {Masatoshi Kokubu and Masaro Takahashi and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:math/0008016},
year = {2007}
}
Comments
25 pages