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    Symmetry, Vol. 10, Pages 218: Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space (2018)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2018-06-14
    Description: Symmetry, Vol. 10, Pages 218: Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space Symmetry doi: 10.3390/sym10060218 Authors: Sun Jung Young Kim We study ruled submanifolds in Minkowski space in regard to the Gauss map satisfying some partial differential equation. As a generalization of usual cylinders, cones and null scrolls in a three-dimensional Minkowski space, a cylinder over a space curve, a product manifold of a right cone and a k-plane, a product manifold of a hyperbolic cone and a k-plane which look like kinds of cylinders over cones in 3-space, and the generalized B-scroll kind in Minkowski space are characterized with the partial differential equation regarding the Gauss map, where k is a positive integer.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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