Corrigendum: Riemannian geometry-based metrics to measure and reinforce user performance changes during brain-computer interface user training. [PDF]
Front Comput Neurosci, 2023 Ivanov N, Chau T.
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The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
, 2010 We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the ...
Bonnard, Bernard +3 more
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Fields of Parallel Vectors in a Riemannian Geometry [PDF]
, 1925 Luther Pfahler Eisenhart
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Geometry of Foliated Manifolds
Extracta Mathematicae, 2016 In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj
Combinatorial Optimization with Information Geometry: The Newton Method
Entropy, 2014 e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
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Riemannian geometry-based metrics to measure and reinforce user performance changes during brain-computer interface user training. [PDF]
Front Comput Neurosci, 2023 Ivanov N, Chau T.
europepmc +1 more source
Riemannian Holonomy and Algebraic Geometry
, 1999 This survey paper is devoted to Riemannian manifolds with special holonomy. To any Riemannian manifold of dimension n is associated a closed subgroup of SO(n), the holonomy group; this is one of the most basic invariants of the metric.
Beauville, A.
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Journal of Robotics, 2009 A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented.
Suguru Arimoto +3 more
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The Riemannian Geometry Theory of Visually-Guided Movement Accounts for Afterimage Illusions and Size Constancy. [PDF]
Vision (Basel), 2022 Neilson PD, Neilson MD, Bye RT.
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On the differential geometry of tangent bundles of Riemannian manifolds [PDF]
, 1958 Shigeo Sasaki
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