Results 41 to 50 of about 4,106,348 (385)

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]

open access: yesSahand Communications in Mathematical Analysis
In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi   +2 more
doaj   +1 more source

Nucleon spin decomposition and differential geometry [PDF]

open access: yes, 2015
In the last few years, the so-called Chen et al. approach of the nucleon spin decomposition has been widely discussed and elaborated on. In this letter we propose a genuine differential geometric understanding of this approach.
François, Jordan   +2 more
core   +2 more sources

Evaluation of Linearization Methods for Control of the Pendubot

open access: yesApplied Sciences, 2021
The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position.
Paweł Parulski   +2 more
doaj   +1 more source

Combinatorial Differential Forms [PDF]

open access: yes, 2000
We extend to a scheme-theoretic context the notion of a combinatorial differential form, due to A.Kock in the framework of synthetic differential geometry.
Breen, Lawrence, Messing, William
core   +2 more sources

Differential Invariants in a General Differential Geometry [PDF]

open access: yesProceedings of the National Academy of Sciences, 1937
The study of general differential geometries in which the "geometric space" is a Hausdorff topological space~), while the "coordinate space" i~ a Banach space 3), has been initiated recently by one of us ~). The theory includes as special cases not only the finite dimensional but also the infinite dimensional 5) Riemannian and Non-Riemannian geometries.
MichaI, A.D., Hyers, D.H.
openaire   +4 more sources

On the differential geometry of [PDF]

open access: yesJournal of Physics A: Mathematical and General, 1998
The differential calculus on the quantum supergroup GL$_q(1| 1)$ was introduced by Schmidke {\it et al}. (1990 {\it Z. Phys. C} {\bf 48} 249). We construct a differential calculus on the quantum supergroup GL$_q(1| 1)$ in a different way and we obtain its quantum superalgebra. The main structures are derived without an R-matrix.
Sultan A. Çelik, Salih Celik
openaire   +3 more sources

Explicit Information Geometric Calculations of the Canonical Divergence of a Curve

open access: yesMathematics, 2022
Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
doaj   +1 more source

Lectures on Finslerian Geometry [PDF]

open access: yesarXiv, 2023
Lecture notes on Finsler ...
arxiv  

Canonical differential geometry of string backgrounds [PDF]

open access: yes, 2006
String backgrounds and D-branes do not possess the structure of Lorentzian manifolds, but that of manifolds with area metric. Area metric geometry is a true generalization of metric geometry, which in particular may accommodate a B-field.
A. Fotopoulos   +15 more
core   +1 more source

Differential geometry of collective models

open access: yesAIMS Mathematics, 2019
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj   +1 more source

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