Results 61 to 70 of about 531 (177)
Fubini-Study metrics and Levi-Civita connections on quantum projective spaces
Advances in Mathematics, 2021 We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetric in the appropriate sense, in terms of the differential calculi introduced by Heckenberger and Kolb.
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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Emergence of Riemannian geometry and the massive graviton
EPJ Web of Conferences, 2014 We overview a new mechanism[14] whereby classical Riemannian geometry emerges out of the differential structure on quantum spacetime, as extension data for the classical algebra of differential forms.
Majid Shahn
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Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures
Mathematics, 2018 A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections ∇ and ∇ * in the Sasakian statistical structure, we provide the ...
Chul Woo Lee, Jae Won Lee
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A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
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Levi-Civita connection for $SU_q(2)$
, 2020 We prove that the $4D_\pm$ calculi on the quantum group $SU_q(2)$ satisfy a metric-independent sufficient condition for the existence of a unique bicovariant Levi-Civita connection corresponding to every bi-invariant pseudo-Riemannian metric.
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Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
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On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC
AxiomsThis paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds.
Md Aquib +3 more
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A Data‐Driven Multiscale Scheme for Anisotropic Finite Strain Magneto‐Elasticity
International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT In this work, we develop a neural network‐based, data‐driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On the microscale, sampled magneto‐mechanical loading paths are imposed on a representative volume element containing spherical particles and an elastomer matrix, and ...
Heinrich T. Roth +4 more
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Annalen der Physik, Volume 538, Issue 6, June 2026.This study examines slowly rotating traversable wormholes supported by string fluids whose properties change with radius. The matter smoothly shifts from a de Sitter‐like core to a string‐dominated exterior, producing a regular, horizon‐free spacetime.
A. Errehymy +5 more
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