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Characterizations of normal curves in Minkowski space-3

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2007
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ABSTRACTMSc ThesisCHARACTERIZATIONS OF NORMAL CURVESIN MINKOWSKI SPACE E31·Ibrahim GÜNGÖRAfyon Kocatepe UniversityGraduate School of Natural and Applied SciencesDepartment of Mathematics¼Supervisor: Asst.Prof.Dr. Derya SAGLAMThis thesis consists of …ve chapters. The …rst chapter is devoted the in-troduction. The second chapter deals with the preliminaries, de…nitions andnecassary theorems that will be needed for later use. In the third chapter,Frenet equation of spacelike, timelike and null curves in Minkowski space E31are studied. In the fourth chapter, some characterizations of spacelike normalcurves with spacelike, timelike or principal normal in the Minkowski 3-spaceE3 are studied. In the …fth chapter, some characterizations of timelike and1null curves for which the position vector always lies in their normal plane inthe Minkowski 3-space E3 are given.12007, Page 51Keywords: Normal Plane, Normal Curve, Frenet Equation, MinkowskiSpace E3 , Position Vector.1i

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İbrahim Güngör

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İbrahim Güngör (Master Thesis). Characterizations of normal curves in Minkowski space-3, 2007, Afyon Kocatepe University.

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