JP Journal of Geometry and Topology
Volume 17, Issue 2, Pages 109 - 126
(May 2015) http://dx.doi.org/10.17654/JPGTMay2015_109_126 |
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THREE-DIMENSIONAL SURFACES FOLIATED BY AN EQUIFORM MOTION OF PSEUDOHYPERBOLIC SURFACES IN
E. M. Solouma
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Abstract: In this paper, we study three-dimensional surfaces in generated by equiform motions of the pseudohyperbolic surface. The properties of these surfaces up to the first order are investigated. We prove that three-dimensional surfaces in are contained in a canal hypersurface, which is reached as envelope of one-parametric set of six-dimensional pseudospheres. Finally we give an example. |
Keywords and phrases: equiform motion, hypersurfaces, Lorentz metrics. |
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