7 citations · 13 across the 5 of their papers we have counts for
5 papers
Homotopy type of spaces of locally convex curves in the sphere S^3
Emília Alves, Victor Goulart, Nicolau C. Saldanha
Locally convex (or nondegenerate) curves in the sphere have been studied for several reasons, including the study of linear ordinary differential equations of order . Ta…
A CW complex homotopy equivalent to spaces of locally convex curves
Victor Goulart, Nicolau C. Saldanha
Locally convex curves in the sphere have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames obtains corresp…
Stratification of spaces of locally convex curves by itineraries
Victor Goulart, Nicolau C. Saldanha
Locally convex (or nondegenerate) curves in the sphere (or projective space) have been studied for several reasons, including the study of linear ordinary differential equations. T…
Locally convex curves and the Bruhat stratification of the spin group
Victor Goulart, Nicolau C. Saldanha
We study the lifting of the Schubert stratification of the homogeneous space of complete real flags of to its universal covering group . We call the lifted st…
Combinatorialization of spaces of nondegenerate spherical curves
Victor Goulart, Nicolau Saldanha
A parametric curve of class on the -sphere is said to be nondegenerate (or locally convex) when for all values of the…