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.