William Ferreira

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We provide a method to obtain linear Weingarten surfaces from a given such surface, by imposing a one parameter algebraic condition on a Ribaucour transformation. Our main result extends classical results for surfaces of constant Gaussian or mean curvature. By applying the theory to the cylinder, we obtain a two-parameter family of complete linear(More)
BACKGROUND Osteogenesis imperfecta is a genetic disorder characterized by defects in type I collagen. The main symptom is bone fragility and susceptibility to fractures. Other clinical findings are dentinogenesis imperfecta, blue sclera, early deafness and joint laxity. The purpose of this paper is to establish a practical relationship of the clinical(More)