5 papers
Some remarks on robust features of surfaces in 4-space
Jorge Luiz Deolindo-Silva
We study robust features of smooth surfaces in 4-space associated with contact with lines and hyperplanes. We investigate the local and multi-local singularities of orthogonal proj…
Complex evolutoids of holomorphic plane curves
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We study the local geometry, singularity classification, and wavefront dynamics of complex evolutoids for regular holomorphic curves in equipped with the standard co…
On the contact of surfaces in -space with 2-planes and their apparent contours
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We investigate the local geometry of generic smooth surfaces in via the contact with -planes and the associated apparent contour. We study the -singula…
On the differential geometry of smooth ruled surfaces in 4-space
Jorge Luiz Deolindo-Silva
A smooth ruled surface in 4-space has only parabolic points or inflection points of real type. We show, by means of contact with transverse planes, that at a parabolic point, there…
Geometry of surfaces in through projections and normal sections
Jorge Deolindo Silva, Raúl Oset Sinha
We study the geometry of surfaces in by relating it to the geometry of regular and singular surfaces in obtained by orthogonal projections. In particula…