3 papers
math.AP2020
Global wave parametrices on globally hyperbolic spacetimes
Matteo Capoferri, Claudio Dappiaggi, Nicolò Drago
In a recent work the first named author, Levitin and Vassiliev have constructed the wave propagator on a closed Riemannian manifold as a single oscillatory integral global both…
math.AP2018
Classification of first order sesquilinear forms
Matteo Capoferri, Nikolai Saveliev, Dmitri Vassiliev
A natural way to obtain a system of partial differential equations on a manifold is to vary a suitably defined sesquilinear form. The sesquilinear forms we study are Hermitian form…
math-ph2018
Spacetime diffeomorphisms as matter fields
Matteo Capoferri, Dmitri Vassiliev
We work on a 4-manifold equipped with Lorentzian metric and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorph…