P. B. Riul

activity

20182022

collaborators

3 papers

math.DG2022

Axial curvatures for corank 1 singular $n$ -manifolds in $R^{n + k}$

Pedro Benedini Riul, Jorge Luiz Deolindo Silva, Raúl Oset Sinha

For singular $n$ -manifolds in $R^{n + k}$ with a corank 1 singular point at $p\in M^n_{\mbox{sing}}$ we define up to $l (n - 1)$ different axial curvatures at $p$ , where $l=\min…

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…

math.DG2018

The flat geometry of the $I_{1}$ singularity: $(x, y) \mapsto (x, x y, y^{2}, y^{3})$

Pedro Benedini Riul, Raúl Oset Sinha

We study the flat geometry of the least degenerate singularity of a singular surface in $R^{4}$ , the $I_{1}$ singularity parametrised by $(x, y) \mapsto (x, x y, y^{2}, y^{3})$ . Thi…

Axial curvatures for corank 1 singular n-manifolds in Rn+k

Singular 3-manifolds in R5

The flat geometry of the I1​ singularity: (x,y)↦(x,xy,y2,y3)

Axial curvatures for corank 1 singular $n$ -manifolds in $R^{n + k}$

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

The flat geometry of the $I_{1}$ singularity: $(x, y) \mapsto (x, x y, y^{2}, y^{3})$