Null parallel p-equidistant b-scrolls

Ayşe Zeynep Azak, Murat Tosun, Melek Masal
2014 Boletim da Sociedade Paranaense de Matemática  
In this paper, null parallel p-equidistant B-scrolls are defined in 3-dimensional Minkowski space R_1^3 . We prove necessary and sufficient conditions for these B-scrolls to be equivalent of their Cartan frames. The relations between matrices of the shape operators and the algebraic invariants (Gauss, mean curvatures, principal curvatures) of these B-scrolls are shown. Besides we give the relations between second Gauss curvatures, mean curvatures and the distribution parameters of
more » ... rs of non-developable null parallel p-equidistant B-scrolls. Finally, an example is given related to the null parallel p-equidistant B-scrolls in R_1^3.
doi:10.5269/bspm.v32i2.20119 fatcat:gceopkzyh5csdeaw5yk35fji7a