J Austral Math Soc Ser A 46 pp313--318, 1989.

Complete Hypersurfaces in Cylinders

Thomas Hasanis

(Received 25 March 1987; revised 12 February 1988)

Abstract

We consider the extent of certain complete hypersurfaces of Euclidean space. We prove that every complete hypersurface in En+1 with sectional curvature bounded below and non-positive scalar curvature has at least (n - 1) unbounded coordinate functions.

1980 AMS Subject Classification (1985 Revision): primary 53C40; secondary 53B20

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

Thomas Hasanis
Department of Mathematics, University of Ioannina 45110, Ioannina, Greece.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Wed Feb 19 10:27:49 2003

© Copyright 1997-2004 Australian Mathematical Society