Displaying similar documents to “Constructing isothermal curvature line coordinates on surfaces which admit them”

Curvatures of conflict surfaces in Euclidean 3-space

Jorge Sotomayor, Dirk Siersma, Ronaldo Garcia (1999)

Banach Center Publications

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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...