Essential Parabolic Structures and Their Infinitesimal Automorphisms [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries.
Jesse Alt
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Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.
Stere Ianus +2 more
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On some properties of Riemannian manifolds with locally conformal almost cosymplectic structures
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004 Let M be a 2m+1-dimensional Riemannian manifold and let ∇ be the Levi-Civita connection and ξ be the Reeb vector field, η the Reeb covector field and X be the structure vector field satisfying a certain property on M. In this paper the following properties are proved: (i) ξ and X define a 3-covariant vanishing structure; (ii) the Jacobi bracket ...
Niglia, A, Ferrara, M
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Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]_D of signature (2,3) on M.
Matthias Hammerl, Katja Sagerschnig
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Local geometry of even clifford structures on conformal manifolds [PDF]
Annals of Global Analysis and Geometry, 2018 15 ...
Hadfield, Charles, Moroianu, Andrei
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The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometry [PDF]
, 2006 We review the general properties of target spaces of hypermultiplets, which are quaternionic-like manifolds, and discuss the relations between these manifolds and their symmetry generators.
Antoine Van Proeyen +6 more
core +7 more sources
Stringy tachyonic instabilities of non-supersymmetric Ricci flat backgrounds
Journal of High Energy Physics, 2021 Superstring/M-theory compactified on compact Ricci flat manifolds have recently been conjectured to exhibit instabilities whenever the metrics do not have special holonomy.
Bobby Samir Acharya +5 more
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Structures on the conformal manifold in six dimensional theories [PDF]
Journal of High Energy Physics, 2015 31 pages; v3: Result for Branson operator for general d added; v4: Minor additions, typos ...
Osborn, Hugh, Stergiou, Andreas
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Pseudo-conformal quaternionic CR structure on (4n + 3)-dimensional manifolds [PDF]
Annali di Matematica Pura ed Applicata, 2007 The purpose of this paper is to introduce a geometric structure called pseudo-conformal quaternionic CR structure on a (4n+3)-dimensional mamnifold and then exhibit a quaternionic analogue of Chern-Moser's CR structure and uniformization.
Alekseevsky, Dmitri +1 more
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Casimir energy and modularity in higher-dimensional conformal field theories
Journal of High Energy Physics, 2023 An important problem in Quantum Field Theory (QFT) is to understand the structures of observables on spacetime manifolds of nontrivial topology. Such observables arise naturally when studying physical systems at finite temperature and/or finite volume ...
Conghuan Luo, Yifan Wang
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