Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
MetadataShow full item record
CitationDursun, U. & Turgay, N. C. (2016). Classification of minimal lorentzian surfaces in S2 4 (1) with constant gaussian and normal curvatures. Taiwanese Journal of Mathematics, 20(6), 1295-1311. doi:10.11650/tjm.20.2016.7345
In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(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.