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math.DG2021
A new family of curves in space
Héctor Efrén Guerrero Mora
This article defines a new family of curves in space, whose graphs generate shapes similar to whirls. An intrinsic equation is found, in terms of curvature and torsion, which gives…
math.DG2021★ 2 cited
Classification of geodesics on a cone in space
Héctor Efrén Guerrero Mora
This article presents a new way to classify geodesics on a cone in the Euclidean 3-space. This proof is obtained considering our main result, which establishes the necessary and su…