This paper examines the use of Lie group and Lie Algebra theory to construct the geometry
of pairwise comparisons matrices. The Hadamard product (also known as coordinatewise …

In this study, we introduce framed curves which can have singular points in three-
dimensional Lie groups. We give Frenet-Serret type formulas of framed curves with the help …

Spinor Frenet Equations in Three Dimensional Lie Groups Page 1 Adv. Appl. Clifford Algebras
26 (2016), 1341–1348 c© 2016 Springer International Publishing 0188-7009/041341-8 …

In this study, we introduce the natural mate and conjugate mate of a Frenet curve in a three
dimensional Lie group G with bi-invariant metric. Also, we give some relationships between …

In this paper, we give the defination of harmonic curvature function some special curves
such as helix, slant curves, Mannheim curves and Bertrand curves. Then, we recall the …

In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups
with bi-invariant metrics. In this way, some conditions including the known results have been …

In this paper, we introduce the concept of D-direction curve and C-direction curve of a given
curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a …

In this study, we state some basic results about the geometry of the special linear group SL
(2, R), seen as a subset of, in terms of the left invariant fields, such as bracketing, Levi Civita …

In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a
Smarandache curve in three dimensional Lie groups with a bi-invariant metric. Moreover, we …

In this paper, we introduce Bertrand and Mannheim curves of framed curves, which are a
special singular curve in 3D Lie groups. We explain the conditions for framed curves to be …