Results 101 to 110 of about 1,198,709 (262)
Journal of Innovative Applied Mathematics and Computational SciencesThis research paper explores the decomposition of Weyl's curvature tensor through the lens of Berwald’s first and second-order derivatives in Finsler spaces.
Adel Mohammed Ali Al-Qashbari +2 more
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Riemannian geometry of Lie algebroids
Journal of the Egyptian Mathematical Society, 2011 typos corrected references ...
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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
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Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions [PDF]
, 2015 In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.
Holmes, Susan +2 more
core
On the essential constants in Riemannian geometries [PDF]
Journal of Mathematical Physics, 2006 In the present work the problem of distinguishing between essential and spurious (i.e., absorbable) constants contained in a metric tensor field in a Riemannian geometry is considered. The contribution of the study is the presentation of a sufficient and necessary criterion, in terms of a covariant statement, which enables one to determine whether a ...
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
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, 2013 These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It has more problems and omits the background material. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds. Affine connections, geodesics, torsion and curvature, the exponential
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A UNITARY INVARIANT IN RIEMANNIAN GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2008 We introduce an invariant of Riemannian geometry which measures the relative position of two von Neumann algebras in Hilbert space, and which, when combined with the spectrum of the Dirac operator, gives a complete invariant of Riemannian geometry. We show that the new invariant plays the same role with respect to the spectral invariant as the Cabibbo–
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LRR‐UNet: A Deep Unfolding Network With Low‐Rank Recovery for EEG Signal Denoising
CNS Neuroscience &Therapeutics, Volume 31, Issue 10, October 2025.Drawing on the intrinsic properties of EEG signals and noise, we developed an EEG denoising algorithm that integrates low‐rank recovery theory with deep learning. Supported by a physical model, this algorithm demonstrates superior denoising performance on relevant datasets.
Xiaoxiong Yue +3 more
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