R. O. Sinha

activity

20172022

most citedThe axial curvature for corank 1 singular surfaces

3 citations · 4 across the 3 of their papers we have counts for

collaborators

7 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.DG2020

Geometry of surfaces in $R^{5}$ through projections and normal sections

Jorge Deolindo Silva, Raúl Oset Sinha

We study the geometry of surfaces in $R^{5}$ by relating it to the geometry of regular and singular surfaces in $R^{4}$ obtained by orthogonal projections. In particula…

math.DG2019★ 3 cited

The axial curvature for corank 1 singular surfaces

Raúl Oset Sinha, Kentaro Saji

For singular corank 1 surfaces in $R^{3}$ we introduce a distinguished normal vector called the axial vector. Using this vector and the curvature parabola we define a new typ…

math.DG2019

Relating second order geometry of manifolds through projections and normal sections

Pedro Benedini Riul, Raúl Oset Sinha

We use normal sections to relate the curvature locus of regular (resp. singular corank 1) 3-manifolds in $R^{6}$ (resp. $R^{5}$ ) with regular (resp. singular corank 1)…

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…

math.CV2018

The extra-nice dimensions

Raúl Oset Sinha, Maria Aparecida Soares Ruas, Roberta Wik Atique

We define the extra-nice dimensions and prove that the subset of locally stable 1-parameter families in $C^{\infty} (N \times [0, 1], P)$ , also known as pseudo-isotopies, is dense if an…