3 citations · 8 across the 7 of their papers we have counts for
7 papers
Homotopy Type of Intersections of Real Bruhat Cells in Dimension 6
Emília Alves, Giovanna Leal
We study the homotopy type of the intersection of two real Bruhat cells. This homotopy type coincides with that of an explicit submanifold of the group of real lower triangular mat…
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…
Remarks on the homotopy type of intersections of two real Bruhat cells
Emília Alves, Nicolau Saldanha
In a companion manuscript, we introduce a stratification of intersections of a top dimensional real Bruhat cells with another arbitrary cell. This intersection is naturally identif…
On the homotopy type of intersections of two real Bruhat cells
Emília Alves, Nicolau C. Saldanha
Real Bruhat cells give an important and well studied stratification of such spaces as , , and . We study the intersections…
Characterization of some convex curves on the 3-sphere
Emília Alves
In this paper we provide a characterization for a class of convex curves on the 3-sphere. More precisely, using a theorem that decomposes a locally convex curve on the 3-sphere as…
Results on the homotopy type of the spaces of locally convex curves on
Emília Alves, Nicolau C. Saldanha
A curve of class () is locally convex if the vectors are a positive orthonormal basis to $R…
Topology of the space of locally convex curves on the 3-sphere
Emília Alves
A (positive) locally convex curve in the 2-sphere is a curve with positive geodesic curvature (i.e., which always turns left). In the 3-sphere, it is a curve with positive torsion.…