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Timelike ruled surface in one-parameter hyperbolic dual spherical motions.
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In this paper, we analyze a certain class of timelike ruled surface in
one-parameter hyperbolic dual spherical motions by means of the E. Study
map. Then, some new formulae of surfaces theory into Minkowski line
space and their geometrical explanations are derived. In addition to
that, timelike Pl¨ucker conoid associated with the motion has been
obtained and investigated in detail. Finally, we have obtained the
necessary and sufficient condition for a timelike ruled surface to be a
constant timelike Disteli-axis.
Title: Timelike ruled surface in one-parameter hyperbolic dual spherical motions.
Description:
In this paper, we analyze a certain class of timelike ruled surface in
one-parameter hyperbolic dual spherical motions by means of the E.
Study
map.
Then, some new formulae of surfaces theory into Minkowski line
space and their geometrical explanations are derived.
In addition to
that, timelike Pl¨ucker conoid associated with the motion has been
obtained and investigated in detail.
Finally, we have obtained the
necessary and sufficient condition for a timelike ruled surface to be a
constant timelike Disteli-axis.
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