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Symmetry 2018, 10(6), 218; https://doi.org/10.3390/sym10060218

Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space

Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
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Received: 12 May 2018 / Revised: 7 June 2018 / Accepted: 11 June 2018 / Published: 13 June 2018
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Abstract

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. View Full-Text
Keywords: finite-type immersion; pointwise 1-type Gauss map of the second kind; generalized B-scroll kind finite-type immersion; pointwise 1-type Gauss map of the second kind; generalized B-scroll kind
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Jung, S.M.; Kim, Y.H. Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space. Symmetry 2018, 10, 218.

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