THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION

Document Type : Novel Research Articles

Abstract

In this paper, a three dimensional surface using equiform motion of a surface of revolution
in Euclidean 3-space E
3
is generated. The main results obtained in this paper are that the
surface foliated by equiform motion of sphere has a zero scaler curvature if the motion of
sphere are in parallel planes. Also, the surface foliated by equiform motion of tours has a
zero scaler curvature if the motion of torus are in parallel planes. Finally, for some special
cases, new examples are constructed and plotted.

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