Classification of minimal Lorentzian surfaces in S2 4 (1) with constant Gaussian and normal curvatures
Turgay, Nurettin Cenk
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In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo- Riemannian sphere S2 4 (1) with index 2 and curvature one. We obtain the complete Classification of minimal Lorentzian surfaces S2 4 (1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.