K-type slant helices on spacelike and timelike surfaces
2021 ◽
Vol 25
(2)
◽
pp. 201-220
Keyword(s):
We have derived a necessary and sufficient condition for a non-null normal spacelike curve lying in a spacelike or a timelike surface M ⊂ E13, so that the curve becomes a K-type spacelike slant helix with K ∈ {1,2,3}. We have used Darboux frame to define necessary and sufficient conditions. An example is given for a 1-type spacelike slant helix having a spacelike normal and a timelike binormal.
1981 ◽
Vol 91
(1-2)
◽
pp. 135-145
2015 ◽
Vol 14
(07)
◽
pp. 1550099
◽
1980 ◽
Vol 21
(3)
◽
pp. 321-328
2017 ◽
Vol 39
(8)
◽
pp. 2223-2234
◽
2015 ◽
Vol 12
(07)
◽
pp. 1550074
◽