Topology and geometry of embedded surfaces of constant mean curvature
Five global theorems are given concerning properly embedded surfaces. (AIP)
Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric ℂP{sup N−1} sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Veronese curve. We give a general criterion to construct non-holomorphic solutions of the model. We extend our analysis to general supersymmetric Grassmannian models.
Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model. United States: N. p., 2015.
Web. doi:10.1063/1.4907868.
Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, & Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model. United States. doi:10.1063/1.4907868.
Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. 2015.
"Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model". United States.
doi:10.1063/1.4907868.
@article{osti_22403114,
title = {Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model},
author = {Delisle, L., E-mail: delisle@dms.umontreal.ca and Hussin, V., E-mail: hussin@dms.umontreal.ca and Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 and Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk},
abstractNote = {Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric ℂP{sup N−1} sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Veronese curve. We give a general criterion to construct non-holomorphic solutions of the model. We extend our analysis to general supersymmetric Grassmannian models.},
doi = {10.1063/1.4907868},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 56,
place = {United States},
year = 2015,
month = 2
}