Hypersurface family with a common isoasymptotic curve
arXiv:1408.6386 · doi:10.1155/2014/623408
Abstract
In the present paper, we handle the problem of finding a hypersurface family from a given asymptotic curve in R^4. Using the Frenet frame of the given asymptotic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be asymptotic. We illustrate this method by presenting some examples.
12 pages. arXiv admin note: substantial text overlap with arXiv:1305.0411