Consider a homogenous fluid membrane, or vesicle, described by the Helfrich-Canham energy, quadratic in the mean curvature. When the membrane is axially symmetric, this energy can be viewed as an… (More)

Consider a homogenous fluid membrane described by the Helfrich-Canham energy, quadratic in the mean curvature of the membrane surface. The shape equation that determines equilibrium configurations is… (More)

The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second FrenetSerret curvatures is considered from… (More)

The creation of brane universes induced by a totally antisymmetric tensor living in a fixed background spacetime is presented, where a term involving the intrinsic curvature of the brane is… (More)

We develop the dynamics of the chiral superconducting membranes in a geometric approach either making a Lagrangian description and a Hamiltonian point of view. Besides, we show the equivalence of the… (More)

Auxiliary fields in the geometrical relativistic particle dynamics. Abstract. We describe how to construct the dynamics of relativistic particles following, either timelike or null curves, by means… (More)

A numerical model of granular material at different packing fractions and under steady shear is submitted to a sudden shear reversal. We monitor consequences of the strong density and shear rate… (More)

We consider the Regge-Teitelboim model for a relativistic extended object embedded in a fixed background Minkowski spacetime, in which the dynamics is determined by an action proportional to the… (More)

In this paper we show the relationship between cylindrical D2-branes and cylindrical superconducting membranes described by a generic effective action at the bosonic level. In the first case the… (More)