ScholarWorks@경상국립대학교

초록

In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space ${\mathbb{E}}_1^4$ with density $e^{{\lambda }_1{x}^2+{\lambda }_2{y}^2+{\lambda }_3{z}^2+{\lambda }_4{t}^2},$ where ${\lambda }_i$ ($i=1,2,3,4$) are not all zero. We give some results about weighted minimal and weighted flat timelike general rotational surfaces in ${\mathbb{E}}_1^4$ with density. Also, we construct some examples for these surfaces.

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