2014
DOI: 10.1016/j.cagd.2014.09.003
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Differential geometry of non-transversal intersection curves of three parametric hypersurfaces in Euclidean 4-space

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Cited by 9 publications
(10 citation statements)
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“…(4) If the above conics overlap, then p is a higher-order contact point. (19) vanishes for any values of x ′ , y ′ and z ′ , i.e. p is a higher order contact point.…”
Section: Unit Tangent Vectormentioning
confidence: 96%
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“…(4) If the above conics overlap, then p is a higher-order contact point. (19) vanishes for any values of x ′ , y ′ and z ′ , i.e. p is a higher order contact point.…”
Section: Unit Tangent Vectormentioning
confidence: 96%
“…The number of the real intersection points of the above conic pairs yields the following cases as in [19]:…”
Section: Unit Tangent Vectormentioning
confidence: 99%
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“…A general reference including many topics in semi-Riemannian geometry is the classical book [19]. Differential geometry of the intersection curves in R 3 and R 4 can be found in [14,26,23,1,15,7,2,4,8,5,3].…”
Section: Introductionmentioning
confidence: 99%
“…Some results on differential geometry of the intersection curves for the transversal intersections in Minkowski 3-space R 3 1 , and Minkowski 4-space R 4 1 , can be found in [6,22,16] and [13] respectively. Aléssio and Guadalupe [6] studied the transversal intersection curve of two parametric spacelike surfaces in R 3 1 considering parametric-parametric intersection problem.…”
Section: Introductionmentioning
confidence: 99%