Meridian surfaces with constant mean curvature in pseudo-euclidean 4-space with neutral metric

Milousheva, Velichka2023-02-072023-02-072017-02-10Bulca, B. ve Milousheva, V. (2017). ''Meridian surfaces with constant mean curvature in pseudo-euclidean 4-space with neutral metric''. Mediterranean Journal of Mathematics, 14(2).1660-5446https://doi.org/10.1007/s00009-017-0878-x1660-5454https://link.springer.com/article/10.1007/s00009-017-0878-xhttp://hdl.handle.net/11452/30880In the present paper we consider a special class of Lorentz surfaces in the four-dimensional pseudo-Euclidean space with neutral metric which are one-parameter systems of meridians of rotational hypersurfaces with timelike, spacelike, or lightlike axis and call them meridian surfaces. We give the complete classification of minimal and quasi-minimal meridian surfaces. We also classify the meridian surfaces with non-zero constant mean curvature.eninfo:eu-repo/semantics/openAccessMathematicsMeridian surfacesQuasi-minimal surfacesConstant mean curvaturePseudo-Euclidean space with neutral metricSpaceClassificationMeridian surfaces with constant mean curvature in pseudo-euclidean 4-space with neutral metricArticle0003960953000132-s2.0-85014595625142Mathematics, appliedMathematicsGauss Map; Hypersurface; Ruled Surface