290 citations
- Université de MontréalCA44 papers
- Université du QuébecCA37 papers
- Centre de recherches mathématiquesCA22 papers
- Université du Québec à MontréalCA16 papers
- Université de SherbrookeCA12 papers
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX6 papers
- University of WarsawPL5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Czech Technical University in PragueCZ4 papers
- Flatiron Health (United States)US4 papers
- Lawrence Berkeley National LaboratoryUS4 papers
6 papers · 1 filter
Reductions of Gauss-Codazzi equations
Robert Conte, A. Michel Grundland
We prove that conformally parametrized surfaces in Euclidean space $\Rcubec$ of curvature admit a symmetry reduction of their Gauss-Codazzi equations whose general solution is…
On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model
A. M. Grundland, I. Yurdusen
We study analytic descriptions of conformal immersions of the Riemann sphere S^2 into the CP^(N-1) sigma model. In particular, an explicit expression for two-dimensional (2-D) surf…
Conformally parametrized surfaces associated with CP^(N-1) sigma models
A. M. Grundland, W. A. Hereman, I. Yurdusen
Two-dimensional conformally parametrized surfaces immersed in the su(N) algebra are investigated. The focus is on surfaces parametrized by solutions of the equations for the CP^(N-…
Surfaces immersed in su(N+1) Lie algebras obtained from the CP^N sigma models
A. M. Grundland, A. Strasburger, W. J. Zakrzewski
We study some geometrical aspects of two dimensional orientable surfaces arrising from the study of CP^N sigma models. To this aim we employ an identification of R^(N(N+2)) with th…
Description of surfaces associated with Grassmannian sigma models on Minkowski space
A. M. Grundland, L. Snobl
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 stu…
Description of surfaces associated with sigma models on Minkowski space
A. M. Grundland, L. Snobl
The objective of this paper is to construct and investigate smooth orientable surfaces in by analytical methods. The structural equations of surfaces in connection with…