Results 201 to 210 of about 7,284 (228)

Fibrous network nature of plant cell walls enables tunable mechanics for development. [PDF]

open access: yesNat Commun
Chen S   +5 more
europepmc   +1 more source

Functional and effective connectivity alterations relate to cognitive performance in aquaporin-4 antibody-positive neuromyelitis optica spectrum disorder. [PDF]

open access: yesBrain Commun
Leveraro E   +11 more
europepmc   +1 more source

Linear transformations on affine-connections [PDF]

open access: yesClassical and Quantum Gravity, 2020
Abstract We state and prove a simple theorem that allows one to generate invariant quantities in metric-affine geometry, under a given transformation of the affine connection. We start by a general functional of the metric and the connection and consider transformations of the affine connection possessing a certain symmetry.
Damianos Iosifidis
exaly   +3 more sources

Affine connections in quantum gravity and new scalar fields [PDF]

open access: yesPhysics of the Dark Universe, 2019
International audienceIn this manuscript, we will discuss the construction of covariant derivative operator inquantum gravity. We will find it is more perceptive alternative to use affine connections more general than metric compatible connections in ...
Kaushik Ghosh
exaly   +2 more sources

Geometries involving affine connections and general linear connections [PDF]

open access: yesAnnali Di Matematica Pura Ed Applicata, 1934
This paper deals with a general linear connection in the sense of R. König, in which a space of \(m\) dimensions is attached to each point of a general manifold of \(n\) dimensions. In such a general manifold of \(n\) dimensions are assumed a symmetric linear connection \(\Gamma_{jk}^i\), and a general linear connection \(L_{\beta a}^\alpha\), both ...
A D Michal
exaly   +2 more sources

Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

open access: yesMathematical Systems Theory, 1987
The paper reports on a nice crossfertilization of the theory of linear, discrete-time control systems and differential-geometric statistics. A Hilbert manifold of linear, SISO, minimum phase systems is defined via the spectral density function, within which some finite-dimensional families of systems are considered.
Shun'ichi Amari
exaly   +3 more sources

Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: a classification

open access: yesMonatshefte Fur Mathematik, 1988
We apply concepts and methods due to \textit{D. Krupka} [Arch. Math., Brno 14, 207-214 (1978; Zbl 0428.58002)] to find all second order natural transformations of symmetric affine connections on manifolds into metrics on linear frame bundles. The complete family of naturally resulting metrics (to a fixed symmetric affine connection) is a real vector ...
exaly   +3 more sources
Some of the next articles are maybe not open access.

On lie algebras of affine vector fields of ideal realizations of holomorphic linear connections

Russian Mathematics, 2008
We study the properties of real realizations of holomorphic linear connections over associative commutative algebras $$ \mathbb{A} $$ m with unity. The following statements are proved.
M. V. Morgun, A. Ya. Sultanov
exaly   +2 more sources

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