Results 31 to 40 of about 746,310 (284)

Differential geometry, Palatini gravity and reduction [PDF]

, 2013
The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle $
Baez J., Bryant R. L., Cartan Ã. J., Dacorogna B., Dacorogna B., Dewitt-Morette C., García P. L., Gotay M. J., Griffiths P., Hsu L., Husemoller D., Kobayashi S., Moseley C. G., Nakahara M., S. Capriotti, Spivak M., Thirring W., Wald R. M.   +17 more
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Differential Geometry of Ice Flow

Frontiers in Earth Science, 2018
Flowlines on ice sheets and glaciers form complex patterns. To explore their role in ice routing and extend the language for studying such patterns, we develop a theory of flow convergence and curvature in plan view.
Felix S. L. Ng, G. Hilmar Gudmundsson, Edward C. King   +2 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

Geometrical modeling and numerical analysis of edge dislocation

Nihon Kikai Gakkai ronbunshu, 2021
In this study, we conduct modeling and numerical analysis of a straight edge dislocation in a three-dimensional geometrically nonlinear elastic medium.
Shunsuke KOBAYASHI, Ryuichi TARUMI
doaj   +1 more source

Differential Geometry of Group Lattices

, 2002
In a series of publications we developed "differential geometry" on discrete sets based on concepts of noncommutative geometry. In particular, it turned out that first order differential calculi (over the algebra of functions) on a discrete set are in ...
Aristophanes Dimakis, Bresser K., Castellani L., Castellani L., Connes A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Dimakis A., Folkert Müller-Hoissen, Fujiwara T., Fujiwara T., Fujiwara T., Lechtenfeld O., Lechtenfeld O., Mack G., Majid S., Mallios A., Ngakeu F., Okumura Y., Regge T., Sabidussi G., Saloff-Coste L., Samuel S., Samuel S., Sitarz A., Suzuki H.   +31 more
core   +1 more source

A Set of Axioms for Differential Geometry [PDF]

Proceedings of the National Academy of Sciences, 1931
Publisher Summary This chapter discusses a set of axioms for differential geometry. The chapter presents the axioms that are intended to describe the class of manifolds of n dimensions to which the theories, grouped together under the heading of differential geometry, are applicable.
Veblen, O., Whitehead, J. H. C.
openaire   +3 more sources

Multiview Differential Geometry of Curves

, 2016
The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry.
Fabbri, Ricardo, Kimia, Benjamin
core   +1 more source

Stringy differential geometry, beyond Riemann

, 2011
While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric.
Jeon, Imtak, Lee, Kanghoon, Park, Jeong-Hyuck   +2 more
core   +1 more source

Transparent DDoS defense by combining Kolmogorov–Arnold networks and XAI for real-time protection in cloud environments

Telematics and Informatics Reports
Cloud computing environments face persistent threats from sophisticated Distributed Denial of Service (DDoS) attacks. Effective defense requires not only high accuracy but also real-time performance and transparent decision-making, a combination that ...
Mohamed Ouhssini, Karim Afdel, Mohamed Akouhar, El hafed Agherrabi, Abdallah Abarda, Mohamed El Fatini, Hasna Mahmoud   +6 more
doaj   +1 more source

A primer on exterior differential calculus [PDF]

Theoretical and Applied Mechanics, 2003
A pedagogical application-oriented introduction to the cal­culus of exterior differential forms on differential manifolds is presented. Stokes' theorem, the Lie derivative, linear con­nections and their curvature, torsion and non-metricity are discussed.
Burton D.A.
doaj   +1 more source