31 citations · 32 across the 5 of their papers we have counts for
5 papers
Generalised Complex and Spinor Relations
Thomas C. De Fraja, Vincenzo Emilio Marotta, Richard J. Szabo
Courant algebroid relations are used to define notions of relations between Dirac structures and spinors. It is shown under which circumstances a spinor relation gives a Courant al…
Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow
Thomas C. De Fraja, Vincenzo Emilio Marotta, Richard J. Szabo
The notion of Courant algebroid relation is used to introduce a definition of relation between divergence operators on Courant algebroids. By introducing invariant divergence opera…
T-Dualities and Courant Algebroid Relations
Thomas C. De Fraja, Vincenzo Emilio Marotta, Richard J. Szabo
We develop a new approach to T-duality based on Courant algebroid relations which subsumes the usual T-duality as well as its various generalisations. Starting from a relational de…
Godbillon-Vey Invariants of Non-Lorentzian Spacetimes and Aristotelian Hydrodynamics
Vincenzo Emilio Marotta, Richard J. Szabo
We study the geometry of foliated non-Lorentzian spacetimes in terms of the Godbillon-Vey class of the foliation. We relate the intrinsic torsion of a foliated Aristotelian manifol…
Para-Hermitian Geometry, Dualities and Generalized Flux Backgrounds
Vincenzo E. Marotta, Richard J. Szabo
We survey physical models which capture the main concepts of double field theory on para-Hermitian manifolds. We show that the geometric theory of Lagrangian and Hamiltonian dynami…