Results 61 to 70 of about 90,046 (220)
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
doaj +1 more source
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
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
Non-Riemannian geometry of M-theory
Journal of High Energy Physics, 2019 We construct a background for M-theory that is moduli free. This background is then shown to be related to a topological phase of the E8(8) exceptional field theory (ExFT).
David S. Berman +2 more
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A complex network perspective on brain disease
Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Fundamentals of Riemannian geometry and its evolution : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Palmerston North, New Zealand [PDF]
, 2000 In this thesis we study the theory of Riemannian manifolds: these are smooth manifolds equipped with Riemannian metrics, which allow one to measure geometric quantities such as distances and angles.
Senarath, Padma
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Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
On the Electromagnetic Energy Flow Along Geodesics
Radio Science, Volume 61, Issue 1, January 2026.Abstract We present a field‐theoretic framework for modeling electromagnetic energy propagation in heterogeneous media by introducing the concept of electromagnetic geodesics. Unlike traditional ray optics, which assumes either a straight‐line propagation or a simple bending in refractive media, our approach formulates wave propagation as geodetic ...
Jacob T. Fokkema, Peter M. van den Berg
wiley +1 more source
The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry
European Physical Journal C: Particles and FieldsThis paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the
B. R. Yashwanth +3 more
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A Survey of Riemannian Contact Geometry
Complex Manifolds, 2019 This survey is a presentation of the five lectures on Riemannian contact geometry that the author gave at the conference “RIEMain in Contact”, 18-22 June 2018 in Cagliari, Sardinia.
Blair David E.
doaj +1 more source