M. Ruas

activity

20062025

most citedTopological Triviality of Families of Singular Surfaces

16 citations · 20 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.DG2022★ 1 cited

Line Congruences on singular surfaces

Débora Lopes, Tito Alexandro Medina Tejeda, Maria Aparecida Soares Ruas +1

This paper is a first step in order to extend Kummer's theory for line congruences to the case ${x, ξ}$ , where $x : U \to R^{3}$ is a smooth map and $ξ:…

math.DG2022

Curvature loci of 3-manifolds

Pedro Benedini Riul, Maria Aparecida Soares Ruas, Raúl Oset Sinha

We refine the affine classification of real nets of quadrics in order to obtain generic curvature loci of regular $3$ -manifolds in $R^{6}$ and singular corank $1$ $3$ -manifo…

math.DG2020

Reflexion maps and geometry of surfaces in R^4

Peter Giblin, Stanislaw Janeczko, Maria Aparecida Soares Ruas

In this article we introduce new affinely invariant points---`special parabolic points'---on the parabolic set of a generic surface $M$ in real 4-space, associated with symmetries…

math.DG2019

Singular 3-manifolds in $R^{5}$

Pedro Benedini Riul, Maria Aparecida Soares Ruas, Andrea de Jesus Sacramento

We study 3-manifolds in $R^{5}$ with corank $1$ singularities. At the singular point we define the curvature locus using the first and second fundamental forms, which contai…

Line Congruences on singular surfaces

Curvature loci of 3-manifolds

Reflexion maps and geometry of surfaces in R^4

Singular 3-manifolds in R5

Singular 3-manifolds in $R^{5}$