Helical Hypersurfaces in Minkowski Geometry E 1 4

Author:

Güler ErhanORCID

Abstract

We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski four-space E 1 4 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian and mean) and give some examples of these hypersurfaces. Finally, we obtain a theorem classifying the helicoidal hypersurface with timelike axes satisfying Δ I H = A H .

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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