M. Molina

collaborators

3 papers

math.DG2024

Left-invariant distributions and metric Hamiltonians on $SL (n, R)$ induced by its Killing form

Abraham Bobadilla Osses, Mauricio Godoy Molina

From the classical theory of Lie algebras, it is well-known that the bilinear form $B (X, Y) = tr (X Y)$ defines a non-degenerate scalar product on the simple Lie algebra ${\mathfr…

math.DG2024

Controllability of the rolling system of a Lorentzian manifold on $R^{n, 1}$

Abraham Bobadilla Osses, Mauricio Godoy Molina

In this paper, we study the mechanical system associated with rolling a Lorentzian manifold $(M, g)$ of dimension $n + 1 \geq 2$ on flat Lorentzian space $M = R^{n, 1}$ …

math.DG2024

Tanaka rigidity of graph Lie algebras

Mauricio Godoy Molina

We give sufficient conditions on a labeled direct graph to determine whether the Tanaka prolongation of its associated Lie algebra is infinite-dimensional. In the case that all dir…

Left-invariant distributions and metric Hamiltonians on SL(n,R) induced by its Killing form

Controllability of the rolling system of a Lorentzian manifold on Rn,1

Tanaka rigidity of graph Lie algebras

Left-invariant distributions and metric Hamiltonians on $SL (n, R)$ induced by its Killing form

Controllability of the rolling system of a Lorentzian manifold on $R^{n, 1}$