a1 Department of Mathematics, University of Ioannina 45110, Ioannina, Greece
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.
(Received March 25 1987)
(Revised February 12 1988)
1980 Mathematics subject classification (Amer. Math. Soc.)
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