Spinorial characterizations of surfaces into 3-dimensional psuedo-Riemannian space forms

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Lawn, Marie-Amélie; Roth, Julien;
(2011)
  • Publisher: Springer Verlag
  • Subject: [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] | 53C27, 53C40, 53C80, 58C40 | spineurs | Immersions isométriques | [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG]
    arxiv: General Relativity and Quantum Cosmology | Mathematics::Differential Geometry

9 pages; We give a spinorial characterization of isometrically immersed surfaces of arbitrary signature into 3-dimensional pseudo-Riemannian space forms. For Lorentzian surfaces, this generalizes a recent work of the first author in $\mathbb{R}^{2,1}$ to other Lorentzia... View more
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