Results 61 to 70 of about 1,134,625 (212)
Cartan connection of transversally Finsler foliation [PDF]
, 2012 The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and ...
Miernowski, Andrzej
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Geometry of extended Bianchi-Cartan-Vranceanu spaces [PDF]
, 2019 The differential geometry of three-dimensional Bianchi, Cartan and Vranceanu (BCV) spaces is well known. We introduce the extended Bianchi, Cartan and Vranceanu (EBCV) spaces as a natural seven-dimensional generalization of BCV spaces and study some of
Naveira, Antonio M. +2 more
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On selfdual spin-connections and asymptotic safety
Physics Letters B, 2016 We explore Euclidean quantum gravity using the tetrad field together with a selfdual or anti-selfdual spin-connection as the basic field variables. Setting up a functional renormalization group (RG) equation of a new type which is particularly suitable ...
U. Harst, M. Reuter
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Quantum Regge Calculus of Einstein–Cartan theory [PDF]
, 2009 We study the Quantum Regge Calculus of Einstein–Cartan theory to describe quantum dynamics of Euclidean space–time discretized as a 4-simplices complex. Tetrad field eμ(x) and spin-connection field ωμ(x) are assigned to each 1-simplex.
Xue, She-Sheng
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Cartan-like formulation of electric Carrollian gravity
Journal of High Energy PhysicsWe present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra ...
Simon Pekar +2 more
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Third Order ODEs Systems and Its Characteristic Connections
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated with the system of third order ODEs. This allows us to find all fundamental
Alexandr Medvedev
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Generalized free wreath products and their operator algebras
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
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Consistent and non-consistent deformations of gravitational theories
Journal of High Energy Physics, 2022 We study the internally abelianized version of a range of gravitational theories, written in connection tetrad form, and study the possible interaction terms that can be added to them in a consistent way. We do this for 2+1 and 3+1 dimensional models. In
J. Fernando Barbero G. +3 more
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
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