Open Access
VOL. 26 | 1991 New periodic minimal surfaces in H^3
Konrad Polthier

Editor(s) Gerd Dziuk, Gerhard Huisken, John Hutchinson

Proc. Centre Math. Appl., 1991: 201-210 (1991)

Abstract

We prove existence of new complete embedded minimal surfaces in H3 having the symmetry of a regular tesselation by Coxeter orthoschemes. Each tetrahedron bounds a fundamental piece along four convex symmetry arcs. Its existence is proved by a conjugate surface construction.

Information

Published: 1 January 1991
First available in Project Euclid: 18 November 2014

zbMATH: 0735.53006
MathSciNet: MR1139040

Rights: Copyright © 1991, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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