Results 31 to 40 of about 1,369,661 (263)
A Comprehensive Introduction to Sub-Riemannian Geometry
, 2019 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or ...
A. Agrachev, D. Barilari, U. Boscain
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Quantum Riemannian geometry and particle creation on the integer line [PDF]
Classical and quantum gravity, 2018 We construct noncommutative or ‘quantum’ Riemannian geometry on the integers as a lattice line with its natural 2-dimensional differential structure and metric given by arbitrary non-zero edge square-lengths .
S. Majid
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Teleparallel Gravity: Foundations and Observational Constraints—Editorial
Universe, 2021 Einstein’s formulation of general relativity as a theory based on the geometry of curvature was a necessity due to Riemannian geometry being the only fully developed framework at the time [...]
Sebastian Bahamonde, Jackson Levi Said
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Transfer Learning: A Riemannian Geometry Framework With Applications to Brain–Computer Interfaces
IEEE Transactions on Biomedical Engineering, 2018 Objective: This paper tackles the problem of transfer learning in the context of electroencephalogram (EEG)-based brain–computer interface (BCI) classification. In particular, the problems of cross-session and cross-subject classification are considered.
P. Zanini +4 more
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Semi-Slant Submersions from Almost Product Riemannian Manifolds
Demonstratio Mathematica, 2016 In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion.
Gündüzalp Yılmaz
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Pseudo-Riemannian geodesics and billiards [PDF]
, 2009 Many classical facts in Riemannian geometry have their pseudo-Riemannian analogs. For instance, the spaces of space-like and time-like geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while ...
Khesin, B., Tabachnikov, S.
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On the flag curvature of Finsler metrics of scalar curvature [PDF]
, 2003 The flag curvature of a Finsler metric is called a Riemannian quantity because it is an extension of sectional curvature in Riemannian geometry. In Finsler geometry, there are several non-Riemannian quantities such as the (mean) Cartan torsion, the (mean)
Chen, Xinyue +2 more
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Conformal Riemannian morphisms between Riemannian manifolds [PDF]
The Journal of the Indian Mathematical Society, 2022, 2018 In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, an isometry, a Riemannian map and a conformal Riemannian map. We show that every injective conformal Riemannian morphism is an injective conformal immersion, and that on a ...
arxiv +1 more source
Contact Semi-Riemannian Structures in CR Geometry: Some Aspects
Axioms, 2019 There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) .
Domenico Perrone
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EEG-Based User Reaction Time Estimation Using Riemannian Geometry Features [PDF]
IEEE transactions on neural systems and rehabilitation engineering, 2017 Riemannian geometry has been successfully used in many brain–computer interface (BCI) classification problems and demonstrated superior performance. In this paper, for the first time, it is applied to BCI regression problems, an important category of BCI
Dongrui Wu +5 more
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