Author: "Ghanam, Ryad A." / Topic: mathematical symmetry - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"Ghanam, Ryad A."' showing total 3 results

Start Over Author "Ghanam, Ryad A." Topic mathematical symmetry

Author: Ghanam, Ryad and Thompson, Gerard
Subjects: *EIKONAL equation, *MATHEMATICAL symmetry, *ISOMORPHISM (Mathematics), *INDEPENDENT variables, *VECTOR fields
Abstract: The infinitesimal algebra of Lie symmetries of the Eikonal equation is shown to be isomorphic to o ( n + 1 , 2 ) when there are n independent variables. An explicit basis is found that is aligned with the standard basis coming from the standard matrix representation of o ( n + 1 , 2 ) thereby making it possible to read off inequivalent one-dimensional symmetry vector fields. The symmetries are used to construct various solutions of the Eikonal equation. [ABSTRACT FROM AUTHOR]
Published: 2018
Full Text: View/download PDF

Author: Ghanam, Ryad
Subjects: *HOLONOMY groups, *LIE algebras, *RIEMANNIAN manifolds, *MATHEMATICAL symmetry, *GROUP theory, *MATHEMATICAL research
Abstract: We construct new examples of four-dimensional Einstein metrics with neutral signature and two-dimensional holonomy Lie algebra. [ABSTRACT FROM AUTHOR]
Published: 2010
Full Text: View/download PDF

Author: Almusawa, Hassan, Ghanam, Ryad, and Thompson, Gerard
Subjects: *LIE algebras, *GEODESIC equation, *MATHEMATICAL symmetry, *LIE groups, *GEODESICS, *SOLVABLE groups, *SYMMETRY
Abstract: In this investigation, we present symmetry algebras of the canonical geodesic equations of the indecomposable solvable Lie groups of dimension five, confined to algebras A 5 , 7 a b c to A 18 a . For each algebra, the related system of geodesics is provided. Moreover, a basis for the associated Lie algebra of the symmetry vector fields, as well as the corresponding nonzero brackets, are constructed and categorized. [ABSTRACT FROM AUTHOR]
Published: 2019
Full Text: View/download PDF

Books, media, physical & digital resources

Searchworks