Article ID Journal Published Year Pages File Type
4601015 Linear Algebra and its Applications 2012 8 Pages PDF
Abstract

We establish a characterization of spheres in E3 with respect to a surface area property of regions with the aid of a new meaning of Gaussian curvature. Furthermore, with respect to a volume property of regions, we characterize elliptic paraboloids in arbitrary dimensional Euclidean spaces.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory