Results 11 to 20 of about 739,586 (175)

Axiomatic differential geometry I-1 - towards model cathegories of differential geometry [PDF]

, 2012
In this paper we give an axiomatization of di erential geometry comparable to model categories for homotopy theory.
Nishimura, Hirokazu
core   +1 more source

Metrics on End-Periodic Manifolds as Models for Dark Matter

Universe, 2022
In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of R4.
Christopher L. Duston
doaj   +1 more source

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

, 2013
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
core   +2 more sources

The Theoretical Study of Kink Deformation in Graphite Based on Differential Geometric Method

Nanomaterials, 2022
Kink deformation is often observed in materials with laminated layers. Graphite composed of stacked graphene layers has the unique laminated structure of carbon nanomaterials.
Xiao-Wen Lei, Shungo Shimizu, Jin-Xing Shi   +2 more
doaj   +1 more source

Feature-Based Point Cloud-Based Assessment of Heritage Structures for Nondestructive and Noncontact Surface Damage Detection

Heritage, 2021
Assessment and evaluation of damage in cultural heritage structures are conducted primarily using nondestructive and noncontact methods. One common deployment is laser scanners or ground-based lidar scanners that produce a point cloud containing ...
Richard L. Wood, Mohammad Ebrahim Mohammadi   +1 more
doaj   +1 more source

Multilocal invariants for the classical groups

International Journal of Mathematics and Mathematical Sciences, 2003
Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
doaj   +1 more source

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

Sahand 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, Roumaissae Eljazzar, Ram Mohapatra   +2 more
doaj   +1 more source

Exact Formulation for the Curvature of Gothic Arch Ball Screw Profiles and New Approximated Solution Based on Simplified Groove Geometry

Machines, 2023
The correct evaluation of the curvatures of ball screw grooves allows the accurate design of the constructive parameters of this mechanism and enhancing its performance.
Antonio Carlo Bertolino, Andrea De Martin, Stefano Mauro, Massimo Sorli   +3 more
doaj   +1 more source

Exterior Differential Systems for Yang-Mills Theories [PDF]

, 2008
Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.Comment: This is a contribution to the Special Issue "Elie Cartan and Differential Geometry ...
Estabrook, Frank B.
core   +4 more sources

To the 85th Anniversary of the Department of Geometry of ISU

Известия Иркутского государственного университета: Серия "Математика", 2023
The article provides a brief overview of the main directions of the history of scientific and pedagogical activity and the achievements of the Department of Geometry of Irkutsk State University for 1938-2012 years.
O.V. Kuzmin, L. A. Osipenko
doaj   +1 more source