## THERMAL SCIENCE

International Scientific Journal

### N-BISHOP DARBOUX VECTOR OF THE SPACELIKE CURVE WITH SPACELIKE BINORMAL

**ABSTRACT**

In this article, the N-Bishop frame in Minkowski space is investigated for spacelike curves with a spacelike binormial. Some features of the normal expansion are proven via for the spacelike curve. Then, a new Darboux frame called by the N-Bishop Darboux frame is introduced at first time. Furthermore, some geometrical properties of the N-Bishop Darboux frame are proven. As a result, the N-Bishop Darboux axis and momentum rotation vector are calculated.

**KEYWORDS**

PAPER SUBMITTED: 2018-11-12

PAPER REVISED: 2018-12-05

PAPER ACCEPTED: 2019-01-10

PUBLISHED ONLINE: 2019-03-09

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 1**, PAGES [S353 - S360]

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