6 citations · 12 across the 12 of their papers we have counts for
12 papers
Fundamental polytope for the isometry group of an alcove
Lucas Seco, Arthur Garnier, Karl-Hermann Neeb
A fundamental alcove is a tile in a paving of a vector space by an affine reflection group . Its geometry encodes essential features of $W_{\mat…
Counting geodesics on compact symmetric spaces
Lucas Seco, Mauro Patrão
We describe the inverse image of the Riemannian exponential map at a basepoint of a compact symmetric space as the disjoint union of so called focal orbits through a maximal torus.…
On the embeddability of the homogeneous Ricci flow and its collapses
Mauro Patrão, Lucas Seco, Llohann D. Sperança
This article grew out of the urge to realize explicit examples of solutions for the Ricci flow as families of isometrically embedded submanifolds, together with its Gromov-Hausdorf…
The projected homogeneous Ricci flow and three-isotropy-summands flag manifolds
Lino Grama, Ricardo M. Martins, Mauro Patrão +2
The Ricci flow was introduced by Hamilton and gained its importance through the years. Of special importance is the limiting behavior of the flow and its symmetry properties. Takin…
Second homotopy and invariant geometry of flag manifolds
Lino Grama, Lucas Seco
We use the Hopf fibration to explicitly compute generators of the second homotopy group of the flag manifolds of a compact Lie group. We show that these -spheres have nice geome…
The minimal Morse components of translations on flag manifolds are normally hyperbolic
Mauro Patrão, Lucas Seco
Consider the iteration of an invertible matrix on the projective space: are the Morse components normally hyperbolic? As far as we know, this was only stablished when the matrix is…