72 citations · 222 across the 22 of their papers we have counts for
6 papers · 1 filter
The Heterotic-Ricci flow and its three-dimensional solitons
Andrei Moroianu, Ángel J. Murcia, C. S. Shahbazi
We introduce a novel curvature flow, the Heterotic-Ricci flow, as the two-loop renormalization group flow of the Heterotic string common sector and study its three-dimensional comp…
Supersymmetric Kundt four manifolds and their spinorial evolution flows
Ángel Murcia, C. S. Shahbazi
We investigate the differential geometry and topology of four-dimensional Lorentzian manifolds equipped with a real Killing spinor , where is def…
Heisenberg-invariant self-dual Einstein manifolds
Vicente Cortés, Ángel Murcia
We classify all self-dual Einstein four-manifolds invariant under a principal action of the three-dimensional Heisenberg group with non-degenerate orbits. The metrics are explicit…
Parallel spinor flows on three-dimensional Cauchy hypersurfaces
Ángel Murcia, C. S. Shahbazi
The three-dimensional parallel spinor flow is the evolution flow defined by a parallel spinor on a globally hyperbolic Lorentzian four-manifold. We prove that, despite the fact tha…
Parallel spinors on globally hyperbolic Lorentzian four-manifolds
Ángel Murcia, C. S. Shahbazi
We investigate the differential geometry and topology of globally hyperbolic four-manifolds admitting a parallel real spinor . Using the theory of parabolic pa…
Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
Ángel Murcia, C. S. Shahbazi
We introduce the notion of -Einstein -contact metric three-manifold, which includes as particular cases -Einstein Riemannian and Lorentzian (par…