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

Part of: Spaces and manifolds of mappings Classical differential geometry

Published online by Cambridge University Press:  18 June 2010

SHIMPEI KOBAYASHI
SHIMPEI KOBAYASHI*
Affiliation:
Graduate School of Science and Technology, Hirosaki University, Hirosaki, 036-8561, Japan (email: [email protected])
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Abstract

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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.

Keywords

constant mean curvaturehyperbolic 3-spacegeneralized Weierstrass type representation

MSC classification

Secondary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature 58D10: Spaces of imbeddings and immersions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 240 - 253
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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