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
Fields of Parallel Vectors in a Riemannian Geometry [PDF]
, 1925 Luther Pfahler Eisenhart
openalex +1 more source
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
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
doaj +1 more source
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.
europepmc +1 more source
Torsion and the second fundamental form for distributions
, 2015 The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion.
Prince, G. E.
core
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
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
doaj +1 more source
Efficient Classification of Motor Imagery Electroencephalography Signals Using Deep Learning Methods
Sensors, 2019 Single-trial motor imagery classification is a crucial aspect of brain–computer applications. Therefore, it is necessary to extract and discriminate signal features involving motor imagery movements.
Ikhtiyor Majidov, Taegkeun Whangbo
doaj +1 more source
Riemannian geometry-based transfer learning for reducing training time in c-VEP BCIs. [PDF]
Sci Rep, 2022 Ying J, Wei Q, Zhou X.
europepmc +1 more source