Yazar "Aslan, Muradiye Çimdiker" için listeleme
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Bonnet Canal Surfaces
We know that Bonnet surfaces are the surfaces which can admit at least one non-trivial isometry that preserves the principal curvatures in the Euclidean three-dimensional space. In this study, firstly, we have examined the ... -
A different view of the tube surface in Minkowski 3-space E-1(3)
Aslan, Muradiye Çimdiker; Ünlütürk, Yasin (Tbilisi Centre Math Sci, 2021)A basic goal of this paper is to study the tube surface with a null Cartan curve with respect to the Bishop frame in Minkowski 3-space E-1(3) and to compute some geometric features for this kind of the tube surface such ... -
Dual curves associated with the Bonnet ruled surfaces
Aslan, Muradiye Çimdiker; Şekerci, Gülşah Aydın (World Scientific Publ Co Pte Ltd, 2020)An interest problem arises to determine the surfaces in the Euclidean three space, which admit at least one nontrivial isometry that preserves the principal curvatures. This leads to a class of surface known as a Bonnet ... -
AN EXAMINATION OF THE CONDITION UNDER WHICH A CONCHOIDAL SURFACE IS A BONNET SURFACE IN THE EUCLIDEAN 3-SPACE
Aslan, Muradiye Çimdiker; Şekerci, Gülşah Aydın (Univ Nis, 2021)In this study, we examine the condition of the conchoidal surface to be a Bonnet surface in Euclidean 3-space. Especially, we consider the Bonnet conchoidal surfaces which admit an infinite number of isometrics. In addition, ... -
A NOTE ON SPRAYS OF ISOTROPIC CURVATURE
Aslan, Muradiye Çimdiker; Ünlütürk, Yasin; Ekici, Cumali (Editura Bibliotheca-Bibliotheca Publ House, 2021)A basic goal of this paper is to calculate, Weyl curvature of R-flat (Ricci-flat) spray of isotropic curvature and a locally projectively R-flat (Ricci-flat) spray, which is a projective invariance. Besides, the equivalents ... -
On the variational curves due to the ED-frame field in Euclidean 4-space
In this study, we define a variational field for constructing a family of Frenet curves of the length l lying on aconnected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field ...
