An analogue of minimal surface theory in

Authors:
M. Kokubu, M. Takahashi, M. Umehara and K. Yamada

Journal:
Trans. Amer. Math. Soc. **354** (2002), 1299-1325

MSC (2000):
Primary 53A10; Secondary 53A35, 53A07

DOI:
https://doi.org/10.1090/S0002-9947-01-02935-X

Published electronically:
November 19, 2001

MathSciNet review:
1873007

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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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Additional Information

**M. Kokubu**

Affiliation:
Department of Natural Science, School of Engineering, Tokyo Denki University, 2-2, Kanda-Nishiki-Cho, Chiyoda-Ku, Tokyo, 101-8457 Japan

Email:
kokubu@cck.dendai.ac.jp

**M. Takahashi**

Affiliation:
Department of General Education, Kurume National College of Technology, Kurume, Fukuoka 830-8555, Japan

Email:
taka@GES.kurume-nct.ac.jp

**M. Umehara**

Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

Email:
umehara@math.sci.hiroshima-u.ac.jp

**K. Yamada**

Affiliation:
Faculty of Mathematics, Kyushu University 36, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan

Email:
kotaro@math.kyushu-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9947-01-02935-X

Received by editor(s):
March 8, 2001

Published electronically:
November 19, 2001

Article copyright:
© Copyright 2001
American Mathematical Society