Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\)

DOI10.1016/j.geomphys.2008.01.007zbMath1202.53026OpenAlexW1975605707MaRDI QIDQ931156

Marie-Amélie Lawn

Publication date: 25 June 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.01.007

zbMATH Keywords

Dirac operatorisometric immersionconformal immersionLorentzian surfacepara-complex geometry

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS, Timelike surfaces in the de Sitter space \(\mathbb{S}_1^3(1)\subset \mathbb{R}_1^4\), Timelike minimal surfaces in the three-dimensional Heisenberg group, Immersion in \(\mathbb {R}^n\) by complex spinors, Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing \(\mathrm{Spin}^c\) spinors, Spinorial representation of submanifolds in Riemannian space forms, Bonnet pairs of surfaces in Minkowski space, On the spinorial representation of spacelike surfaces into 4-dimensional Minkowski space, Spinorial representation of submanifolds in \(\mathrm{SL}_n(\mathbb{C})/\mathrm{SU}(n)\), Spinorial characterizations of surfaces into 3-dimensional pseudo-Riemannian space forms, Spinorial representation of surfaces into 4-dimensional space forms, Energy methods for Dirac-type equations in two-dimensional Minkowski space, Spinor representation of Lorentzian surfaces in \(\mathbb R^{2, 2}\), Spinorial representation of submanifolds in metric Lie groups, Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space, Isometric immersions of hypersurfaces in 4-dimensional manifolds via spinors, A Weierstrass representation for minimal surfaces in 3-dimensional manifolds, Immersion in \(\mathbb{S}^n\) by complex spinors, Bochner-flat para-Kähler surfaces, Spinorial representation of surfaces in Lorentzian homogeneous spaces of dimension 3

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