کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895827 1533764 2013 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the spinorial representation of spacelike surfaces into 4-dimensional Minkowski space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On the spinorial representation of spacelike surfaces into 4-dimensional Minkowski space
چکیده انگلیسی

We prove that an isometric immersion of a simply connected Riemannian surface MM in four-dimensional Minkowski space, with given normal bundle EE and given mean curvature vector H→∈Γ(E), is equivalent to a normalized spinor field φ∈Γ(ΣE⊗ΣM)φ∈Γ(ΣE⊗ΣM) solution of a Dirac equation Dφ=H→⋅φ on the surface. Using the immersion of the Minkowski space into the complex quaternions, we also obtain a representation of the immersion in terms of the spinor field. We then use these results to describe the flat spacelike surfaces with flat normal bundle and regular Gauss map in four-dimensional Minkowski space, and also the flat surfaces in three-dimensional hyperbolic space, giving spinorial proofs of results by J.A. Gálvez, A. Martínez and F. Milán.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 74, December 2013, Pages 289–313
نویسندگان
,