Computes position vector components of rectifying and osculating curves in the {T, N, T×N} frame on immersed surfaces and shows invariance under isometry iff normal curvature is invariant or position vector aligns with tangent.
Normal curves on a smooth immersed surface
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abstract
The aim of this paper is to investigate the sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the the deviations of the tangential and normal components of the curve with respect to the given isometry.
fields
math.GM 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Some characterizations of Rectifying and osculating curves on a smooth immersed surface
Computes position vector components of rectifying and osculating curves in the {T, N, T×N} frame on immersed surfaces and shows invariance under isometry iff normal curvature is invariant or position vector aligns with tangent.