Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Pugliese, Fabrizio"'
Secondary Calculus is a formal replacement for differential calculus on the space of solutions of a system of possibly non-linear partial differential equations and it is essentially due to Alexandre M. Vinogradov and his collaborators. Many coordina
Externí odkaz:
http://arxiv.org/abs/2301.02038
A Nijenhuis operator on a manifold $M$ is a $(1,1)$ tensor $\mathcal N$ whose Nijenhuis-torsion vanishes. A Nijenhuis operator $\mathcal N$ on $M$ determines a Lie algebroid structure $(TM)_{\mathcal N}$ on the tangent bundle $TM$. In this sense a Ni
Externí odkaz:
http://arxiv.org/abs/2203.09469
We define a new notion of fiber-wise linear differential operator on the total space of a vector bundle $E$. Our main result is that fiber-wise linear differential operators on $E$ are equivalent to (polynomial) derivations of an appropriate line bun
Externí odkaz:
http://arxiv.org/abs/2011.13192
We define and study multiplicative connections in the tangent bundle of a Lie groupoid. Multiplicative connections are linear connections satisfying an appropriate compatibility with the groupoid structure. Our definition is natural in the sense that
Externí odkaz:
http://arxiv.org/abs/2011.04597
We study the geometry of multidimensional scalar $2^{nd}$ order PDEs (i.e. PDEs with $n$ independent variables) with one unknown function, viewed as hypersurfaces $\mathcal{E}$ in the Lagrangian Grassmann bundle $M^{(1)}$ over a $(2n+1)$-dimensional
Externí odkaz:
http://arxiv.org/abs/1003.5177
We find normal forms for parabolic Monge-Ampere equations. Of these, the most general one holds for any equation admitting a complete integral. Moreover, we explicitly give the determining equation for such integrals; restricted to the analytic case,
Externí odkaz:
http://arxiv.org/abs/0707.0683
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 Shemarulin. Taking into consideration how symmetries and recursion operators
Externí odkaz:
http://arxiv.org/abs/math-ph/0602019
Akademický článek
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Akademický článek
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Publikováno v:
In Differential Geometry and its Applications March 2014 33 Supplement:144-161
