Open AccessNull parallel p-equidistant b-scrolls
Author(s) -
Ayşe Zeynep Azak,
Murat Tosun,
Melek Masal
Publication year - 2014
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v32i2.20119
Subject(s) - equidistant
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 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