Browsing by Author "Arslan, K"
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Item SOME CHARACTERIZATIONS OF TIMELIKE AND SPACELIKE CURVES WITH HARMONIC 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR IN THE MINKOWSKI 3-SPACE E13Kocayigit, H; Önder, M; Arslan, KIn this study, by using Laplacian and normal Laplacian operators, some characterizations on the Darboux instantaneous rotation vector field of timelike and spacelike curves are given in Minkowski 3-space E-1(3)Item CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTORArslan, K; Kocayigit, H; Önder, MIn this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E-3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.Item A GEOMETRIC MODELING OF TRACHEAL ELEMENTS OF THE CHARD (Beta vulgaris) LEAFArslan, K; Bulca, B; Özdemir, C; Özdemir, A; Bozdag, BIn this study, we give a geometric description of the tracheal elements of the chard (Beta vulgaris var. cicla L.). which is a widespread cultivated plant in Turkey. It is used as an edible plant and its leaves are used as antidiabetic in traditional medicine plant. We have shown that the tracheal elements, which are taxonomic value of the plant, can be considered as a surface of revolution or a tubular shape along a special curve.