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Noether Symmetries of the Area-Minimizing Lagrangian
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-15
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n).
Furthermore, if the space has one section of constant curvature of dimension n1, another of n2, and so on to nk and one of zero curvature of dimension m, with n≥∑j=1knj+m (as some of the sections may have no symmetry), then the Lie algebra of Noether symmetries is ⊕j=1kso(nj+1)⊕(so(m)⊕sℝm).
American Psychological Association (APA)
Aslam, Adnan& Qadir, Asghar. 2012. Noether Symmetries of the Area-Minimizing Lagrangian. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993350
Modern Language Association (MLA)
Aslam, Adnan& Qadir, Asghar. Noether Symmetries of the Area-Minimizing Lagrangian. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993350
American Medical Association (AMA)
Aslam, Adnan& Qadir, Asghar. Noether Symmetries of the Area-Minimizing Lagrangian. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993350