78 citations · 155 across the 26 of their papers we have counts for
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math.DG2006★ 1 cited
On the geometry of Grassmannian equivalent connections
Gianni Manno
We introduce the equation of n-dimensional totally geodesic submanifolds of a manifold E as a submanifold of the second order jet space of n-dimensional submanifolds of E. Next we…
math-ph2006
Higher symmetries of the elliptic Euler-Darboux equation
Diego Catalano Ferraioli, Gianni Manno, Fabrizio Pugliese
We find a remarkable subalgebra of higher symmetries of the elliptic Euler-Darboux equation. To this aim we map such equation into its hyperbolic analogue already studied by Shemar…
math.DG2006★ 9 cited
Geometric aspects of higher order variational principles on submanifolds
Gianni Manno, Raffaele Vitolo
The geometry of jets of submanifolds is studied, with special interest in the relationship with the calculus of variations. A new intrinsic geometric formulation of the variational…