TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE-Reference-Cited by-同舟云学术

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

Published:2010-06-18 Issue:2 Volume:82 Page:240-253
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

KOBAYASHI SHIMPEI

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Unitarization of Loop Group Representations of Fundamental Groups

2. [9] Kobayashi S.-P. , ‘Real forms of complex surfaces of constant mean curvature’, Trans. Amer. Math. Soc., to appear.

3. Construction of constant mean curvature n-noids from holomorphic potentials

4. Complex Analysis

5. Construction of non-simply connected CMC surfaces via dressing

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2. Minimal n -noids in hyperbolic and anti-de Sitter 3-space;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2019-07

3. Constant mean curvature surfaces in hyperbolic 3-space via loop groups;Journal für die reine und angewandte Mathematik (Crelles Journal);2014-01-01

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