3 citations · 9 across the 12 of their papers we have counts for
12 papers
Ruled surfaces in 3-dimensional Riemannian manifolds
Marco Castrillón, María Eugenia Rosado, Alberto Soria
In this work, ruled surfaces in 3-dimensional Riemannian manifolds are studied. We determine the expression for the extrinsic and sectional curvature of a parametrized ruled surfac…
Reduction (by stages) in the whole Lagrange Poincare category
Marco Castrillon Lopez, Miguel Angel Berbel
We complete the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reducti…
Un-reduction in field theory, with applications
Alexis Arnaudon, Marco Castrillon Lopez, Darryl D. Holm
The un-reduction procedure introduced previously in the context of Mechanics is extended to covariant Field Theory. The new covariant un-reduction procedure is applied to the probl…
Covariant un-reduction for curve matching
Alexis Arnaudon, Marco Castrillon Lopez, Darryl D. Holm
The process of un-reduction, a sort of reversal of reduction by the Lie group symmetries of a variational problem, is explored in the setting of field theories. This process is app…
Cyclic Lorentzian Lie Groups
M. Castrillon Lopez, G. Calvaruso
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as dif…
Four-dimensional naturally reductive pseudo-Riemannian spaces
Wafaa Batat, Marco Castrillon Lopez, Eugenia Rosado Maria
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally re…