45 citations · 111 across the 40 of their papers we have counts for
47 papers
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…
The functional architecture of the early vision and neurogeometric models
Dmitri V. Alekseevsky, Andrea Spiro
The initial sections of the paper give a concise presentation, specially designed for a mathematically oriented audience, of some of the most basic facts on the functional architec…
On the Pontryagin Maximum Principle under differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
Exploiting our previous results on higher order controlled Lagrangians in [Nonlinear Anal. {\bf 207} (2021), 112263], we derive here an analogue of the classical first order Pontry…
Special Vinberg Cones and the Entropy of BPS Extremal Black Holes
Dmitri V. Alekseevsky, Alessio Marrani, Andrea Spiro
We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the ve…
Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry
Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz +1
We study Lorentzian manifolds of dimension , equipped with a maximally twisting shearfree null vector field , for which the leaf space …
Control problems with differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
We consider cost minimising control problems, in which the dynamical system is constrained by higher order differential equations of Euler-Lagrange type. Following ideas from a pre…