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Reduction for field theories with symmetry can be done either covariantly—that is, on spacetime—or dynamically—that is, after spacetime is split into space and time. The purpose of this article is to show that these two reduction procedures are, in an appropriate sense, equivalent for a class of field theories whose fields take values in a principal bundle.… (More)

Let π : P → Mn be a principal G-bundle, and let L : JP → Λn(M) be a G-invariant Lagrangian density. We obtain the Euler-Poincaré equations for the reduced Lagrangian l defined on C(P ), the bundle of connections on P .

- M Castrillón, A Mayoral, +4 authors J Santamaría
- Nanotechnology
- 2012

Ultra-small magnetic nanoparticles consisting of NiCo and FeNi alloys enclosed within graphitic shells (NiCo/G and FeNi/G) have been synthesized. The particles, which retained the face centered cubic (fcc) symmetry of the original bulk metals, together with the graphitic coating were characterized by means of aberration corrected scanning transmission… (More)

- M Castrillón, A Mayoral, +4 authors J Santamaría
- Nanotechnology
- 2013

FeCo-alloy graphite-coated nanoparticles with mean particle diameter under 8 nm have been synthesized following a CVD carbon-deficient method. The superior magnetic properties of FeCo-alloy nanoparticles makes them good candidates to be used as magnetic filler in magneto-polymer composites. Thanks to the protective effect of the graphite shell, FeCo… (More)

We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanhecke, of the corresponding homogeneous tensors. We use our analysis to show that the moduli space of homogeneous… (More)

- Manuel Domínguez, Thomas Noll, Marco Castrillón
- Theor. Comput. Sci.
- 2011

Two explicit expressions of the canonical 8-form on a Riemannian manifold with holonomy group Spin(9) have been given: One by the present authors and another by Parton and Piccinni. The relation between these two expressions is obtained. Moreover, it is shown that they are different only from a combinatorial viewpoint.

- Marco Castrillón, Antonio Valdés
- International Journal of Computer Vision
- 2001

We show that projectively invariant evolution operators have unavoidable singularities. In particular, we see that there exists no non-singular projective evolution operator well-defined over straight lines nor conics.

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