## THERMAL SCIENCE

International Scientific Journal

### DIFFERENTIAL REPRESENTATION OF THE LORENTZIAN SPHERICAL TIMELIKE CURVES BY USING BISHOP FRAME

**ABSTRACT**

In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop Frame and we obtain a thirdorder linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere.

**KEYWORDS**

PAPER SUBMITTED: 2019-07-24

PAPER REVISED: 2019-08-30

PAPER ACCEPTED: 2019-09-02

PUBLISHED ONLINE: 2019-10-06

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 6**, PAGES [S2037 - S2043]

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