Curves on a Smooth Surface with Position Vectors Lie in the Tangent Plane
Curves on a Smooth Surface with Position Vectors Lie in the Tangent Plane
The present paper deals with a study of curves on a smooth surface whose position vector always lies in the tangent plane of the surface and it is proved that such curves remain invariant under isometry of surfaces. It is also shown that length of the position vector, tangential component …