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Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space

Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
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Symmetry 2018, 10(6), 218; https://doi.org/10.3390/sym10060218
Received: 12 May 2018 / Revised: 7 June 2018 / Accepted: 11 June 2018 / Published: 13 June 2018
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
MDPI and ACS Style

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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