6 citations · 12 across the 19 of their papers we have counts for
24 papers
Order of dynamical and control systems on maximal compact subgroups
Mauro Patrão, Laércio dos Santos
In this paper, we characterize the dynamical orders of minimal Morse components and, partially, of control sets on maximal compact subgroups of a semisimple Lie group as an algebra…
Cellular homology of compact groups: Split real forms
Mauro Patrão, Ricardo Sandoval
In this article, we use the Bruhat and Schubert cells to calculate the cellular homology of the maximal compact subgroup of a connected semisimple Lie group whose Lie algeb…
Dynamics of translations on maximal compact subgroups
Mauro Patrão, Ricardo Sandoval
In this article, we study the dynamics of translations of an element of a semisimple Lie group acting on its maximal compact subgroup . First, we extend to our context some…
Control sets on maximal compact subgroups
Mauro Patrão, Laércio dos Santos
In this paper we study the action of semigroups with nonempty interior of noncompact connected semisimple Lie groups, with finite center, on their maximal compact connected subgrou…
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…