52 citations · 196 across the 18 of their papers we have counts for
18 papers
Perturbations of Fefferman spaces over almost CR manifolds
Arman Taghavi-Chabert
We construct a one-parameter family of Lorentzian conformal structures on the canonical circle bundle of a partially integrable contact almost Cauchy-Riemann manifold. This builds…
Perturbations of Fefferman spaces over CR three-manifolds
Arman Taghavi-Chabert
We introduce a generalisation of Fefferman's conformal circle bundle over a contact Cauchy-Riemann three-manifold. These can be viewed as exact `perturbations' of Fefferman's struc…
Almost Robinson geometries
Anna Fino, Thomas Leistner, Arman Taghavi-Chabert
We investigate the geometry of almost Robinson manifolds, Lorentzian analogues of almost Hermitian manifolds, defined by Nurowski and Trautman as Lorentzian manifolds of even dimen…
Twisting non-shearing congruences of null geodesics, almost CR structures, and Einstein metrics in even dimensions
Arman Taghavi-Chabert
We investigate the geometry of a twisting non-shearing congruence of null geodesics on a conformal manifold of even dimension greater than four and Lorentzian signature. We give a…
Optical geometries
Anna Fino, Thomas Leistner, Arman Taghavi-Chabert
We study the notion of optical geometry, defined to be a Lorentzian manifold equipped with a null line distribution, from the perspective of intrinsic torsion. This is an instance…
Distinguished curves and integrability in Riemannian, conformal, and projective geometry
A. Rod Gover, Daniel Snell, Arman Taghavi-Chabert
We give a new characterisation of the unparametrised geodesics, or distinguished curves, for affine, pseudo-Riemannian, conformal, and projective geometry. This is a type of moving…
Fefferman-Graham ambient metrics of Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
Given an -dimensional manifold with an affine connection , we show that the associated Patterson-Walker metric on admits a global and explicit Fefferman-Graham…
Conformal Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a spl…
A Projective-to-Conformal Fefferman-Type Construction
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
We study a Fefferman-type construction based on the inclusion of Lie groups into . The construction associates a split-signature -confor…
Twistor Geometry of Null Foliations in Complex Euclidean Space
Arman Taghavi-Chabert
We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface of dimension , and its twistor space $…
A Goldberg-Sachs theorem in dimension three
Pawel Nurowski, Arman Taghavi-Chabert
We prove a Goldberg-Sachs theorem in dimension three. To be precise, given a three-dimensional Lorentzian manifold satisfying the topological massive gravity equations, we provide…
The curvature of almost Robinson manifolds
Arman Taghavi-Chabert
An almost Robinson structure on an -dimensional Lorentzian manifold $(\mcM,g)$, where , , is a complex -plane distribution $\mcN$ that is totally nul…
Pure spinors, intrinsic torsion and curvature in odd dimensions
Arman Taghavi-Chabert
We study the geometric properties of a -dimensional complex manifold admitting a holomorphic reduction of the frame bundle to the structure group $P \subset \…
Pure spinors, intrinsic torsion and curvature in even dimensions
Arman Taghavi-Chabert
We study the geometric properties of a -dimensional complex manifold admitting a holomorphic reduction of the frame bundle to the structure group $P \subset \math…
Conformal Field Theories in Six-Dimensional Twistor Space
L. J. Mason, R. A. Reid-Edwards, A. Taghavi-Chabert
This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space-time and cohomology classes on twistor space, where tw…
The complex Goldberg-Sachs theorem in higher dimensions
Arman Taghavi-Chabert
We study the geometric properties of holomorphic distributions of totally null -planes on a -dimensional complex Riemannian manifold , where $ε\in…
Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
Arman Taghavi-Chabert
Optical (or Robinson) structures are one generalisation of four-dimensional shearfree congruences of null geodesics to higher dimensions. They are Lorentzian analogues of complex a…
Killing-Yano tensors and multi-hermitian structures
Lionel Mason, Arman Taghavi-Chabert
We show that the Euclidean Kerr-NUT-(A)dS metric in dimensions locally admits hermitian complex structures. These are derived from the existence of a non-degenerate clos…