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- University of PaduaIT28 papers
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5 papers · 1 filter
The isoperimetric problem for regular and crystalline norms in
Valentina Franceschi, Roberto Monti, Alberto Righini +1
We study the isoperimetric problem for anisotropic left-invariant perimeter measures on , endowed with the Heisenberg group structure. The perimeter is associated with…
Particle-like Structure of Lie algebras
Alexandre M. Vinogradov
If a Lie algebra structure g on a vector space is the sum of a family of mutually compatible Lie algebra structures g_i's, we say that g is simply assembled from the g_i's. Repeati…
Logic of differential calculus and the zoo of geometric strujctures
Alexandre M. Vinogradov
Since the discovery of differential calculus by Newton and Leibniz and the subsequent continuous growth of its applications to physics, mechanics, geometry, etc, it was observed th…
Hamilton-Jacobi Diffieties
L. Vitagliano
Diffieties formalize geometrically the concept of differential equations. We introduce and study Hamilton-Jacobi diffieties. They are finite dimensional subdiffieties of a given di…
On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective
L. Vitagliano
We formalize geometrically the idea that the (de Donder) Hamiltonian formulation of a higher derivative Lagrangian field theory can be constructed understanding the latter as a fir…