Fields of Parallel Vectors in a Riemannian Geometry [PDF]
, 1925 Luther Pfahler Eisenhart
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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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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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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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Parallel Spinors on Pseudo-Riemannian Spin C Manifolds [PDF]
arXiv, 2004 We describe, by their holonomy groups, all complete simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalize the Riemannian SpinC case and the pseudo-Riemannian Spin one.
arxiv
Some elementary observations regarding reductive Cartan geometries
, 2016 After defining generalizations of the notions of covariant derivatives and geodesics from Riemannian geometry for reductive Cartan geometries in general, various results for reductive Cartan geometries analogous to important elementary results from ...
Erickson, Jacob W.
core
On the differential geometry of tangent bundles of Riemannian manifolds [PDF]
, 1958 Shigeo Sasaki
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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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