科研之友
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摘要
The two-dimensional O(2, 1) nonlinear sigma model with boundary is considered. We calibrate the size of its space of field configurations by exhibiting new and wide classes of solutions. We first construct solutions by evolving, under a certain group of transformations, free elastic curves in any surface, either Riemannian or Lorentzian, of constant curvature. Furthermore, we show that any null scroll can provide a solution of this sigma model. This surprising phenomenon, which obviously has no Euclidean counterpart, guarantees the existence of an ample class of solutions which are generated by null (or lightlike) curves evolving through null ruling flows.
- 出版日期2012-4-13
