Mental State Detection Using Riemannian Geometry on Electroencephalogram Brain Signals. [PDF]
Front Hum Neurosci, 2021 Wriessnegger SC +3 more
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Natural Connections on Riemannian Product Manifolds [PDF]
arXiv, 2011 A Riemannian almost product manifold with integrable almost product structure is called a Riemannian product manifold. In the present paper the natural connections on such manifolds are studied, i.e. the linear connections preserving the almost product structure and the Riemannian metric.
arxiv
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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Relative Riemannian Geometry I. On the affine connection [PDF]
, 1958 Makoto Matsumoto
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Riemannian Geometry of Functional Connectivity Matrices for Multi-Site Attention-Deficit/Hyperactivity Disorder Data Harmonization. [PDF]
Front Neuroinform, 2022 Simeon G, Piella G, Camara O, Pareto D.
europepmc +1 more source
Homogeneous structures of $3$-dimensional Lie groups [PDF]
arXivWe give a classification of homogeneous Riemannian structures on (non locally symmetric) $3$-dimensional Lie groups equipped with left invariant Riemannian metrics. This work together with classifications due to previous works yields a complete classification of all the homogeneous Riemannian structures on homogeneous Riemannian $3$-spaces.
arxiv
A Liouvile-type theorems for some classes of complete Riemannian almost product manifolds and for special mappings of complete Riemannian manifolds [PDF]
arXiv, 2016 In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds.
arxiv
A course in tensors with applications to Riemannian geometry, by R. S. Mishra. Pothishala Private Ld, Allahabad 1965. iii + 199. [PDF]
, 1968 Hermes A. Eliopoulos
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A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement. [PDF]
Vision (Basel), 2021 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source
Anti-invariant Riemannian submersions from locally conformal Kaehler manifolds [PDF]
arXiv, 2019 B. Sahin [9] introduced the notion of anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. In the present paper we extend the notion of anti-invariant and Lagrangian Riemannian submersions (a special anti-invariant Riemannian submersion) to the case of locally conformal Kaehler manifolds.
arxiv