2 citations · 2 across the 3 of their papers we have counts for
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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 …
Geometry of Lagrangian Grassmannians and nonlinear PDEs
Jan Gutt, Gianni Manno, Giovanni Moreno
This paper contains a thorough introduction to the basic geometric properties of the manifold of Lagrangian subspaces of a linear symplectic space, known as the Lagrangian Grassman…
Contact manifolds, Lagrangian Grassmannians and PDEs
Olimjon Eshkobilov, Gianni Manno, Giovanni Moreno +1
In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the…
Geometry of the free-sliding Bernoulli beam
Giovanni Moreno, Monika Ewa Stypa
If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of a free boundary…
Natural boundary conditions in geometric calculus of variations
Giovanni Moreno, Monika Ewa Stypa
In this paper we obtain natural boundary conditions for a large class of variational problems with free boundary values. In comparison with the already existing examples, our frame…
On Families in Differential Geometry
Giovanni Moreno
Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for famili…