78 citations · 155 across the 26 of their papers we have counts for
23 papers · 1 filter
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…
The c-projective symmetry algebras of Kähler surfaces
Gianni Manno, Jan Schumm, Andreas Vollmer
Let be a Kähler manifold with complex structure and Kähler metric . A c-projective vector field is a vector field on whose flow sends -planar curves to -planar…
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…
3-dimensional Levi-Civita metrics with projective vector fields
Gianni Manno, Andreas Vollmer
Projective vector fields are the infinitesimal transformations whose local flow preserves geodesics up to reparametrisation. In 1882 Sophus Lie posed the problem of describing 2-di…
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…
2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces
Gianni Manno, Filippo Salis
We give a complete list of non-isometric bidimensional rotation invariant Kähler-Einstein submanifolds of a finite dimensional complex projective space endowed with the Fubini-Stud…