11 citations · 24 across the 17 of their papers we have counts for
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The complete dynamics description of positively curved metrics in the Wallach flag manifold
Leonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins +1
The family of invariant Riemannian manifolds in the Wallach flag manifold is described by three parameters of positive real numbers. By rest…
On the dynamics of positively curved metrics on under the homogeneous Ricci flow
Leonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins
In this note, we show that the classical Wallach manifold -admits metrics of positive intermediate Ricci curvature for $d = 1, 2,…
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…
A numerical treatment to the problem of the quantity of Einstein metrics on flag manifolds
Lino Grama, Ricardo Miranda Martins
In this paper we employ numerical methods to study the Einstein equation \[ Ric(g)=λ\, g, \] where is the Ricci tensor and is the Einstein constant, restricted to a class…
Global behavior of the Ricci flow on homogeneous manifolds with two isotropy summands
Ricardo Miranda Martins, Lino Grama
In this paper we study the global behavior of the Ricci flow equation for two classes of homogeneous manifolds with two isotropy summands. Using methods of the qualitative theory o…
The Ricci flow of left invariant metrics on full flag manifold SU(3)/T from a dynamical systems point of view
Ricardo Miranda Martins, Lino Grama
In this paper we study the behavior of the Ricci flow at infinity for the full flag manifold using techniques of the qualitative theory of differential equations, in spec…