Curvatures of conflict surfaces in Euclidean 3-space
Sotomayor, Jorge ; Siersma, Dirk ; Garcia, Ronaldo
Banach Center Publications, Tome 50 (1999), p. 277-285 / Harvested from The Polish Digital Mathematics Library
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This article extends to three dimensions results on the curvature of the conflict curve for pairs of convex sets of the plane, established by Siersma [3]. In the present case a conflict surface arises, equidistant from the given convex sets. The Gaussian, mean curvatures and the location of umbilic points on the conflict surface are determined here. Initial results on the Darbouxian type of umbilic points on conflict surfaces are also established. The results are expressed in terms of the principal directions and on the curvatures of the borders of the given convex sets.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:209014 
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     zbl = {0983.53003},
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Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo. Curvatures of conflict surfaces in Euclidean 3-space. Banach Center Publications, Tome 50 (1999) pp. 277-285. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p277bwm/

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