Jorge Luiz Deolindo Silva

activity

20172022

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.DG2018

Cr-invariants for surfaces in 4-space

Jorge Luiz Deolindo Silva

We establish cross-ratio invariants for surfaces in 4-space in an analogous way to Uribe-Vargas's work for surfaces in 3-space. We study the geometric locii of local and multi-loca…

math.DG2017

Binary differential equations at parabolic and umbilical points for $2$ -parameter families of surfaces

Jorge Luiz Deolindo Silva, Yutaro Kabata, Toru Ohmoto

We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic $2$ -parameter families of surfaces in…

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

Cr-invariants for surfaces in 4-space

Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces

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

Binary differential equations at parabolic and umbilical points for $2$ -parameter families of surfaces