Some characterizations of rectifying and osculating curves on a smooth immersed surface
نویسندگان
چکیده
The present paper deals with some characterizations of rectifying and osculating curves on a smooth surface respect to the reference frame {T?,N?,T?×N?}. We have computed components position vectors along T?,N?,T?×N? then investigated their invariancy under isometry surfaces, it is shown that they are invariant iff either normal curvature curve or vector in direction tangent curve.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2022
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2021.104387