IJPAM: Volume 77, No. 5 (2012)
REMARKS ON HYPERSURFACES OF
REVOLUTION IN EUCLIDEAN SPACE
REVOLUTION IN EUCLIDEAN SPACE

Zonglao Zhang
College of Mathematics and Information Science
Wenzhou University
Wenzhou, Zhejiang, 325035, P.R. CHINA
College of Mathematics and Information Science
Wenzhou University
Wenzhou, Zhejiang, 325035, P.R. CHINA
Abstract. We investigate hypersurfaces in Euclidean space
. Two main results are obtained, one concerns the Gauss-Kronecker curvature of a graph defined by a radially symmetric function on
, and the other gives a sufficient and necessary condition for a hypersurfaces to be hypersurfaces of revolution.
Received: September 5, 2011
AMS Subject Classification: 53A07, 53C45, 53C40
Key Words and Phrases: hypersurface of revolution, Gauss-Kronecker curvature, convex hypersurface, sectional curvature
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 5