|Title||THE DIFFERENTIAL GEOMETRY OF REGULAR CURVES ON A REGULAR TIME-LIKE SURFACE|
|Publication Type||Journal Article|
|Year of Publication||2015|
|Authors||OZYILMAZ EMIN, YAYLI YUSUF|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||53A04, 53B30|
In this study, we consider time-like regular surface in Minkowski space as y = y(u, v) and investigate Darboux vectors of the time-like curves on time-like surface as (c), (c1) and (c2) which are not intersect perpendicularly. Moreover, we give a relation between the Darboux vectors of these Darboux frames. By this relation we obtain general Liouville formula and general form Euler and O. Bonnet.