7 citations · 30 across the 18 of their papers we have counts for
23 papers
Classifying Slice-Regular Polynomials via Group Actions on the Twistor Space
Chunlin Liu, Giovanni Moreno, Haipan Shi
We study the equivalence classes of slice-regular functions on a symmetric slice domain , and of their subclass made of polynomial slice-regular functions, wi…
Path signatures of ODE solutions
Francesco Galuppi, Giovanni Moreno, Pierpaola Santarsiero
The signature of a path is a sequence of tensors which allows to uniquely reconstruct the path. By employing the geometric theory of nonlinear systems of ordinary differential equa…
Invariant Monge-Ampère equations on contactified para-Kähler manifolds
Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
We develop a method for describing invariant Monge-Ampère equations in the sense of V. Lychagin and T. Morimoto (MAE) on a homogeneous contact manifold of a semisimple Lie grou…
Third-order affine-invariant (systems of) PDEs in two independent variables as vanishing of the Fubini-Pick invariant
Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
In this paper we study order (system of) PDEs in two independent variables and one unknown function that are invariant with respect to the group of affi…
The moment map on the space of symplectic 3D Monge-Ampère equations
Jan Gutt, Gianni Manno, Giovanni Moreno +1
For any second-order scalar PDE in one unknown function, that we interpret as a hypersurface of a second-order jet space , we construct, by means of the characte…
A general method to construct invariant PDEs on homogeneous manifolds
Dmitri V. Alekseevsky, Jan Gutt, Gianni Manno +1
Let be an -dimensional homogeneous manifold and be the manifold of -jets of hypersurfaces of . The Lie group acts naturally on each …