45 citations · 111 across the 40 of their papers we have counts for
7 papers · 1 filter
Special Vinberg cones, invariant admissible cubics and special real manifolds
Dmitri V. Alekseevsky, Alessio Marrani, Andrea Spiro
By Vinberg theory any homogeneous convex cone may be realized as the cone of positive Hermitian matrices in a -algebra of generalised matrices. The level hypersurfa…
Pontryagin Maximum Principle and Stokes Theorem
Franco Cardin, Andrea Spiro
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a nec…
Lie algebras of conservation laws of variational partial differential equations
Emanuele Fiorani, Sandra Germani, Andrea Spiro
We establish a version of the first Noether Theorem, according to which the (equivalence classes of) conserved quantities of given Euler-Lagrange equations in several independent v…
Lie algebras of conservation laws of variational ordinary differential equations
Emanuele Fiorani, Andrea Spiro
We establish a new version of the first Noether Theorem, according to which the (equivalence classes of) first integrals of given Euler-Lagrange equations in one independent variab…
Super-Poincare' algebras, space-times and supergravities (II)
Andrea Santi, Andrea Spiro
The presentation of supergravity theories of our previous paper "Super-Poincare' algebras, space-times and supergravities (I)" is re-formulated in the language of Berezin-Leites-Ko…
Super-Poincare' algebras, space-times and supergravities (I)
A. Santi, A. Spiro
A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of…