Abstract
In this article, we study the vertical, horizontal and complete
lifts of Bishop formulas given by ( 1. 1 ), the first acceleration pool
centers and the Darboux vector defined on space R3
to its tangent space
T R3 = R6
. In addition, we include all special cases of the first and second curvatures κ1 and κ2 of the Bishop formulas according to the vertical,
horizontal and complete lifts on space R3
to tangent space T R3
. As a result of this transformation on R3
to tangent space T R3
, it can be speak
about the properties of Bishop formulas on space T R3 by looking at the
lifting of characteristics (κ1, κ2, T, N1, N2) of the first curve on space R3
.
Has¸im C¸ AYIR, Yasemin SOYLU, Gokhan K ¨ OSEO ¨ GLU. (2019) Some properties concerning lifting of Bishop formulas on tangent space T R3, Punjab University Journal of Mathematics, Volume 51, Issue 11.
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