V. Assenza

activity

20232026

most citedMagnetic flatness and E. Hopf's theorem for magnetic systems

1 citations · 1 across the 4 of their papers we have counts for

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math.SG2026

Periodic Magnetic Geodesics with Every Low Energy: Existence and Localization

Valerio Assenza, Gabriele Benedetti, Leonardo Macarini

Let $(Q, g)$ be a Riemannian manifold equipped with a non-identically zero magnetic field represented by a closed $2$ -form $β$ . We allow $Q$ to be non-compact and do not assume that…

math.SG2023

Magnetic curvature and existence of a closed magnetic geodesic on low energy levels

Valerio Assenza

To a Riemannian manifold $(M, g)$ endowed with a magnetic form $σ$ and its Lorentz operator $Ω$ we associate an operator $M^{Ω}$ , called the magnetic curvature operator. Such an oper…