TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE

被引:3
作者
Kobayashi, Shimpei [1 ]
机构
[1] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan
关键词
constant mean curvature; hyperbolic; 3-space; generalized Weierstrass type representation; REPRESENTATIONS; UNITARIZATION; CONSTRUCTION;
D O I
10.1017/S0004972710000274
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We detail a construction of totally symmetric surfaces of constant mean curvature 0 <= H < 1 in hyperbolic 3-space of sectional curvature -1 via the generalized Weierstrass type representation.
引用
收藏
页码:240 / 253
页数:14
相关论文
共 11 条
[1]   Coarse classification of constant mean curvature cylinders [J].
Dorfmeister, J. ;
Kobayashi, S. -P. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (06) :2483-2500
[2]   Construction of non-simply connected CMC surfaces via dressing [J].
Dorfmeister, J ;
Haak, G .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2003, 55 (02) :335-364
[3]  
DORFMEISTER J, 2009, CONSTANT MEAN CURVAT, P50650
[4]   Construction of constant mean curvature n-noids from holomorphic potentials [J].
Dorfmeister, Josef ;
Wu, Hongyou .
MATHEMATISCHE ZEITSCHRIFT, 2008, 258 (04) :773-803
[5]  
Dorfmeister J, 2007, NAGOYA MATH J, V187, P1
[6]  
GOHBERG IC, 1964, RUSS MATH SURV, V19, P63
[7]   Delaunay ends of constant mean curvature surfaces [J].
Kilian, M. ;
Rossman, W. ;
Schmitt, N. .
COMPOSITIO MATHEMATICA, 2008, 144 (01) :186-220
[8]   Constant mean curvature surfaces of any positive genus [J].
Kilian, M ;
Kobayashi, SP ;
Rossman, W ;
Schmitt, N .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 72 :258-272
[9]  
KOBAYASHI SP, T AM MATH S IN PRESS
[10]  
Lang S., 1999, Graduate Texts in Mathematics