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An analogue of minimal surface theory in |
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| Authors: | M Kokubu M Takahashi M Umehara K Yamada |
| Institution: | Department of Natural Science, School of Engineering, Tokyo Denki University, 2-2, Kanda-Nishiki-Cho, Chiyoda-Ku, Tokyo, 101-8457 Japan ; Department of General Education, Kurume National College of Technology, Kurume, Fukuoka 830-8555, Japan ; Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan ; Faculty of Mathematics, Kyushu University 36, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan |
| 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.  ), which contains minimal surfaces in  and constant mean curvature  surfaces in  . A Weierstrass type representation formula and a Chern-Osserman type inequality for such surfaces are given. |
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