6 citations · 15 across the 7 of their papers we have counts for
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math.DG2020★ 2 cited
Evolving Surfaces and Evolving Implicit Differential Equations Via Contact Geometry and Singularities
Ricardo Uribe-Vargas
We present the list of unavoidable local phenomena (transitions) occurring on the configuration of the parabolic and flecnodal curves of evolving smooth surfaces in R^3 (or RP^3).…
math.DG2020★ 6 cited
Characteristic Points, Fundamental Cubic Form and Euler Characteristic of Projective Surfaces
Maxim Kazarian, Ricardo Uribe-Vargas
We define local indices for projective umbilics and godrons (also called cusps of Gauss) on generic smooth surfaces in projective 3-space. By means of these indices, we provide for…