Induced connections of two types on a surface of an affine space
Дифференциальная геометрия многообразий фигур, 2019 In the affine space the fundamental-group connection in the bundle associated with a surface as a manifold of tangent planes is investigated. The principal bundle contains a quotient bundle of tangent frames, the typical fiber of which is a linear group ...
A. Shults
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Semi-inverted linear spaces and an analogue of the broken circuit complex [PDF]
, 2019 The image of a linear space under inversion of some coordinates is an affine variety whose structure is governed by an underlying hyperplane arrangement.
Scholten, Georgy, Vinzant, Cynthia
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The Berwald-type linearisation of generalised connections [PDF]
, 2003 We study the existence of a natural `linearisation' process for generalised connections on an affine bundle. It is shown that this leads to an affine generalised connection over a prolonged bundle, which is the analogue of what is called a connection of ...
Bejancu A +24 more
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Reductive homogeneous spaces and nonassociative algebras [PDF]
, 2019 The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.Comment: 28 pages.
Elduque, Alberto
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Characterising transformations between quantum objects, 'completeness' of quantum properties, and transformations without a fixed causal order [PDF]
QuantumMany fundamental and key objects in quantum mechanics are linear mappings between particular affine/linear spaces. This structure includes basic quantum elements such as states, measurements, channels, instruments, non-signalling channels and channels ...
Simon Milz, Marco Túlio Quintino
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Abelian simply transitive affine groups of symplectic type [PDF]
, 2001 We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$.
Baues, Oliver, Cortes, Vicente
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Clustering of Whole-Brain White Matter Short Association Bundles Using HARDI Data
Frontiers in Neuroinformatics, 2017 Human brain connectivity is extremely complex and variable across subjects. While long association and projection bundles are stable and have been deeply studied, short association bundles present higher intersubject variability, and few studies have ...
Claudio Román +9 more
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Integrators on homogeneous spaces: Isotropy choice and connections [PDF]
, 2016 We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical integrator respects this symmetry if it is equivariant.
Munthe-Kaas, Hans, Verdier, Olivier
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Affine Manifolds and Zero Lyapunov Exponents in Genus 3 [PDF]
, 2015 In previous work, the author fully classified orbit closures in genus three with maximally many (four) zero Lyapunov exponents of the Kontsevich-Zorich cocycle.
Aulicino, David
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Structurofunctional resting-state networks correlate with motor function in chronic stroke
NeuroImage: Clinical, 2017 Purpose: Motor function and recovery after stroke likely rely directly on the residual anatomical connections in the brain and its resting-state functional connectivity.
Benjamin T. Kalinosky +2 more
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