Description of surfaces associated with Grassmannian sigma models on Minkowski space
Journal Article
·
· Journal of Mathematical Physics
- Centre de Recherches Mathematiques, Universite de Montreal, C. P. 6128, Succ. Centre-ville, Montreal, Quebec H3C 3J7 (Canada)
We construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are studied using moving frames adapted to the surfaces. The first and second fundamental forms of these surfaces as well as the relations between them as expressed in the Gauss-Weingarten and Gauss-Codazzi-Ricci equations are found. The scalar curvature and the mean curvature vector expressed in terms of a solution of Grassmanian sigma model are obtained.
- OSTI ID:
- 20699353
- Journal Information:
- Journal of Mathematical Physics, Vol. 46, Issue 8; Other Information: DOI: 10.1063/1.1996369; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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