MINIMAL ANNULI IN R(3) BOUNDED BY NONCOMPACT COMPLETE CONVEX CURVES IN PARALLEL PLANES

Authors
YI F
Citation
F. Yi, MINIMAL ANNULI IN R(3) BOUNDED BY NONCOMPACT COMPLETE CONVEX CURVES IN PARALLEL PLANES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 60, 1996, pp. 369-388
Citations number
12
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
60
Year of publication
1996
Part
3
Pages
369 - 388
Database
ISI
SICI code
0263-6115(1996)60:<369:MAIRBB>2.0.ZU;2-0
Abstract
In this paper we consider the Plateau problem for surfaces of annular type bounded by a pair of convex, non-compact curves in parallel plane s. We prove that for certain symmetric boundaries there are solutions to the non-compact Plateau problems (Theorem B). Except for boundaries consisting of a pair of parallel straight lines, these are the first known examples.