New aspects of Argyres-Douglas theories and their dimensional reduction
Journal of High Energy Physics, 2021 Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties.
Simone Giacomelli +2 more
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On six-dimensional Vaisman — Gray submanifolds of the octave algebra
Дифференциальная геометрия многообразий фигур, 2019 The W1 + W4 class of almost Hermitian manifolds (in accordance with the Gray — Hervella classification) is usually named as the class of Vaisman — Gray manifolds.
M. Banaru
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Special Types of Locally Conformal Closed G2-Structures
Axioms, 2018 Motivated by known results in locally conformal symplectic geometry, we study different classes of G 2 -structures defined by a locally conformal closed 3-form.
Giovanni Bazzoni, Alberto Raffero
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Weyl-parallel forms, conformal products and Einstein-Weyl manifolds [PDF]
, 2010 Motivated by the study of Weyl structures on conformal manifolds admitting parallel weightless forms, we define the notion of conformal product of conformal structures and study its basic properties.
Belgun, Florin, Moroianu, Andrei
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The Laplacian Flow of Locally Conformal Calibrated G2-Structures
Axioms, 2019 We consider the Laplacian flow of locally conformal calibrated G 2 -structures as a natural extension to these structures of the well-known Laplacian flow of calibrated G 2 -structures.
Marisa Fernández +2 more
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Flat conformal structures on 3-manifolds. I. Uniformization of closed Seifert manifolds [PDF]
Journal of Differential Geometry, 1993 This is the first in the series of three papers where we prove an existence theorem for flat conformal structures on finite-sheeted coverings over a wide class of Haken manifolds. In this paper we prove: Theorem 2.1. Let \(S(g,e)\) be a total space of a circle bundle over a closed orientable surface \(S_ g\) of a genus \(g\) having Euler number \(e \in
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Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics [PDF]
, 1999 We study the Jones and Tod correspondence between selfdual conformal 4-manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl 3-manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences ...
Calderbank, David M. J., Pedersen, H.
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Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]
, 2014 I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
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Weyl structures with special holonomy on compact conformal manifolds
, 2023 21 pages; a flaw in the proof of Theorem 4.3 was ...
Belgun, Florin +2 more
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On Riemannian manifolds endowed with a locally conformalcosymplectic structure [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We deal with a locally conformal cosymplectic manifold M(φ, Ω, ξ, η, g) admitting a conformal contact quasi‐torse‐forming vector field T. The presymplectic 2‐form Ω is a locally conformal cosymplectic 2‐form. It is shown that T is a 3‐exterior concurrent vector field. Infinitesimal transformations of the Lie algebra of ∧M are investigated.
Ion Mihai, Radu Rosca, Valentin Ghişoiu
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