Yazar "Ekici, Cumali" için listeleme
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A note on Berwald eikonal equation
Ekici, Cumali; Çimdiker, Muradiye (Iop Publishing Ltd, 2016)In this study, firstly, we generalize Berwald map by introducing the concept of a Riemannian map. After that we find Berwald eikonal equation through using the Berwald map. The eikonal equation of geometrical optic that ... -
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 a variational problem due to the B-Darboux frame in Euclidean 3-space
Dede, Mustafa; Çimdiker Aslan, Muradiye; Ekici, Cumali (Wiley, 2021)In this paper, we introduce a new frame which is called the B-Darboux frame on a surface in Euclidean 3-space. We know that the parallel transport frame is derived from the Frenet frame along a space curve on a surface. ... -
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike directrix
Dede, Mustafa; Ekici, Cumali; Ünlütürk, Yasin (Universiti Putra Malaysia, 2014)In this paper, we deal with the differential geometric properties of robot end-effector's motion by using the curvature theory of timelike ruled surfaces with timelike directrix. -
ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS
Çimdiker, Muradiye; Ekici, Cumali (Honam Mathematical Soc, 2020)In this study, we have generalized pseudo-Finsler map by introducing the concept of semi-Riemannian map and have found pseudo-Finsler eikonal equations using pseudo-Finsler map. After that, we have obtained some sufficient ... -
THE RELATIONS BETWEEN NULL GEODESIC CURVES AND TIMELIKE RULED SURFACES IN DUAL LORENTZIAN SPACE D-1(3)
Ünlütürk, Yasin; Yılmaz, Suha; Ekici, Cumali (Honam Mathematical Soc, 2019)In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces ... -
Twisted surfaces with vanishing curvature in Galilean 3-space
Dede, Mustafa; Ekici, Cumali; Goemans, Wendy; Ünlütürk, Yasin (World Scientific Publ Co Pte Ltd, 2018)In this work, we define twisted surfaces in Galilean 3-space. In order to construct these surfaces, a planar curve is subjected to two simultaneous rotations, possibly with different rotation speeds. The existence of ...
