TY - JOUR T1 - An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. AU - Şenyurt, Süleyman AU - Kılıçoglu, Şeyda PY - 2021 DA - September JF - Turkish Journal of Science JO - TJOS PB - Ahmet Ocak AKDEMİR WT - DergiPark SN - 2587-0971 SP - 89 EP - 95 VL - 6 IS - 2 LA - en AB - In this paper we have defined and examined curves with common principal normal and Darboux vectors ; if the principal normal vector of first curve and Darboux vector of second curve are linearly dependent, then first curve has been called N − D* curve, and the second curve is called N − D* partner curve. These new curves are called N − D* pair curves. Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve. KW - Darboux vector KW - Offset curves KW - Mannheim curves KW - Bertrand pairs CR - Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 205, 1997. CR - Hacisalihoğlu HH. Diferensiyel Geometri, Cilt 1, I´no¨nu¨ U¨ niversitesi Yayinlari, Malatya, 1994. CR - Lipschutz MM. Schaum’s outline of theory and problems of differential geometry, 1969. CR - Liu H, Wang F. Mannheim partner curves in 3-space. Journal of Geometry 88(1-2) 2008, 120 – 126. CR - Schief WK. On the integrability of Bertrand curves and Razzaboni surfaces. Journal of Geometry and Physics, 45(1–2), 2003, 130–150. CR - Kılıçoğlu, S, Şenyurt, S. An Examination on NP∗ Curves in E3. Turkish Journal of Mathematics and Computer Science, 12(1), 2020, 26–30. CR - Kılıçoğlu, S, Şenyurt, S. On The Curves N − T ∗ N∗ in E3. Turkish Journal of Mathematics and Computer Science, 12(2), 2020, 161–165. UR - https://dergipark.org.tr/tr/pub/tjos/issue//991745 L1 - https://dergipark.org.tr/tr/download/article-file/1959528 ER -