ON THE EXISTENCE OF GLOBAL TCHEBYCHEV NETS

Authors
SAMELSON SL DAYAWANSA WP
Citation
Sl. Samelson et Wp. Dayawansa, ON THE EXISTENCE OF GLOBAL TCHEBYCHEV NETS, Transactions of the American Mathematical Society, 347(2), 1995, pp. 651-660
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
2
Year of publication
1995
Pages
651 - 660
Database
ISI
SICI code
0002-9947(1995)347:2<651:OTEOGT>2.0.ZU;2-L
Abstract
Let S be a complete, open simply connected surface. Suppose that the i ntegral of the Gauss curvature over arbitrary measurable sets is less than pi/2 in magnitude. We show that the surface admits a global Tcheb ychev net.