Results 1 to 10 of about 1,380,597 (301)
Pseudo-Riemannian geometry encodes information geometry in optimal transport. [PDF]
Inf Geom, 2022 Optimal transport and information geometry both study geometric structures on spaces of probability distributions. Optimal transport characterizes the cost-minimizing movement from one distribution to another, while information geometry originates from ...
Wong TL, Yang J.
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The geometry of Riemannian spaces [PDF]
Transactions of the American Mathematical Society, 1934 The primary purpose of this paper is to expose, in as simple and clear a form as is possible, the fundamentals of the geometric structure of a Riemannian space. It is a general truth that the methods which pierce most deeply into the heart of a geometric theory are invariant methods, that is, methods which are independent of the choice of the ...
W. C. Graustein
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Discrete Riemannian Geometry [PDF]
Journal of Mathematical Physics, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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The R.I. Pimenov unified gravitation and electromagnetism field theory as semi-Riemannian geometry [PDF]
Phys.Atom.Nucl.72:794-800,2009, 2008 More then forty years ago R.I. Pimenov introduced a new geometry -- semi-Riemannian one -- as a set of geometrical objects consistent with a fibering $ pr: M_n \to M_m.$ He suggested the heuristic principle according to which the physically different quantities (meter, second, coulomb etc.) are geometrically modelled as space coordinates that are not ...
A. Chodos +11 more
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Motor Imagery EEG Classification Based on Decision Tree Framework and Riemannian Geometry. [PDF]
Comput Intell Neurosci, 2019 This paper proposes a novel classification framework and a novel data reduction method to distinguish multiclass motor imagery (MI) electroencephalography (EEG) for brain computer interface (BCI) based on the manifold of covariance matrices in a ...
Guan S, Zhao K, Yang S.
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A bridge between complex geometry and Riemannian geometry [PDF]
Proceedings of the American Mathematical Society, 1993 Every complex manifold M n {M^n} with holomorphic metric can be obtained (at least locally) from a complex manifold E 2 ∙ n − 2 {E^{2 \bullet n - 2}} and one of its C
Antonio Cassa
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The geometry of modified Riemannian extensions [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009 We show that every paracomplex space form is locally isometric to a modified Riemannian extension and give necessary and sufficient conditions so that a modified Riemannian extension is Einstein.
Calvino-Louzao, E. +3 more
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Riemannian Geometry of Noncommutative Surfaces [PDF]
Journal of Mathematical Physics, 2008 A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory.
A. Tureanu +7 more
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Poisson-Riemannian geometry [PDF]
Journal of Geometry and Physics, 2017 We study noncommutative bundles and Riemannian geometry at the semiclassical level of first order in a deformation parameter λ, using a functorial approach. This leads us to field equations of ‘Poisson–Riemannian geometry’ between the classical metric, the Poisson bracket and a certain Poisson-compatible connection needed as initial data for the ...
E. Beggs, S. Majid
semanticscholar +4 more sources
, 1990 troisème edition (l'ajout principal est une section consacréee à la géométrie lorentzienne) d'un livre de géométrie ...
Sylvestre Gallot +2 more
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