Fields of Parallel Vectors in a Riemannian Geometry [PDF]
, 1925 Luther Pfahler Eisenhart
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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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On the differential geometry of tangent bundles of Riemannian manifolds [PDF]
, 1958 Shigeo Sasaki
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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.
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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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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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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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Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces
International Journal of Mathematics and Mathematical Sciences, 2009 The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric ...
Paul Bracken
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Riemannian Laplace Distribution on the Space of Symmetric Positive Definite Matrices
Entropy, 2016 The Riemannian geometry of the space Pm, of m × m symmetric positive definite matrices, has provided effective ...
Hatem Hajri +4 more
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Riemannian geometry-based transfer learning for reducing training time in c-VEP BCIs. [PDF]
Sci Rep, 2022 Ying J, Wei Q, Zhou X.
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