TY - JOUR T1 - Characterizations of Curves According to Elasticity in Finsler Manifold TT - Finsler Manifoldunda Esnekliğine Göre Eğrilerin Karakterizasyonları AU - Öğrenmiş, Alper Osman PY - 2016 DA - September Y2 - 2016 JF - Journal of the Institute of Science and Technology JO - J. Inst. Sci. and Tech. PB - Igdir University WT - DergiPark SN - 2536-4618 SP - 119 EP - 124 VL - 6 IS - 3 LA - en AB - Physically, inelastic curve flow is qualifed by the nonexistence of any strain energy taken from themotion. We have found out the changing equations for an inelastic curve whose length is preserved over all time.In this study, we give some characterizations for curves in terms of elasticity KW - Finsler manifold KW - flow of a curve KW - frenet equations N2 - Fiziksel olarak, elastik olmayan bir eğri akışı, hareket kaynaklı bir enerji geriliminin bulunmaması olarakkarakterize edilir. Biz bir elastik olmayan düzlem eğrisinin, yani yay uzunluğu her zaman korunan bir eğri içindeğişim denklemlerini ortaya çıkardık. Bu çalışmada, elastiklik açısından eğrilerin bazı karakterizasyonları verildi. CR - Bejancu A, Farran HR, 2000. Geometry of Pseudo-Finsler Submanifolds. Kluwer Academic Pub., First Edition, New York, USA. 241p. CR - Brandt EH, 2005. Finslerian quantum feld theory. Nonlinear Analysis, 63: 119-130. CR - Gürbüz N, 2009. Inextensible flows of spacelike, timelike and null Curves. International Journal of Contemporary Mathematical Sciences, 4(32): 1599-1604. CR - Kwon DY, Park FC, 1999. Evolution of inelastic plane curves. Applied Mathematics Letters. 12: 115-119. Kwon DY, Park FC, Chi DP, 2005. Inextensible flows of curves and developable surfaces. Applied Mathematics Letters. 18: 1156-1162. CR - Latif D, Razavi A, 2008. Inextensible Flows of Curves in Minkowskian Space. Advanced Studies in Theoretical Physics. 2(16): 761-768. CR - Öğrenmiş AO, Yeneroğlu M, Külahcı M, 2011. Inelastic Admissible Curves in the Pseudo - Galilean Space G31. International Journal of Open Problems Compt. Math. 4(3): 199-207. CR - Öztekin H, Bozok HG, 2013. Inextensible flows of curves in 4-dimensional Galilean space G4. Mathematical Sciences and Applications E-Notes, 1(2): 28-34. CR - Solange FR, Portugal R, 2001. FINSLER-acomputer algebra package for Finsler geometries. Nonlinear Analysis, 47(9): 6121-6134. CR - Yıldız G, Okuyucu OZ, 2014. Inextensible Flows of Curves in Lie Groups. Caspian Journal of Mathematical Sciences, 2(1): 23-32. CR - Yılmaz MY, Bektaş M, 2011. Bertrand Curves on Finsler Manifolds. International Journal of Physical and Mathematical Sciences, 2: 5-10. CR - Yoon DW, 2011. Inelastic flows of curves according to equiform in Galilean space. Journal of the Chungcheong Mathematical Society, 24(4): 665-673. UR - https://dergipark.org.tr/en/pub/jist/article/387855 L1 - https://dergipark.org.tr/en/download/article-file/416271 ER -