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d-Minimal Surfaces in Three-Dimensional Singular Semi-Euclidean Space R^(0,2,1)
摘要
In this paper, we study surfaces in singular semi-Euclidean space R^(0,2,1) endowed with a degenerate metric. We define d-minimal surfaces, and give a representation formula of Weierstrass type. Moreover, we prove that d-minimal surfaces in R^(0,2,1) and spacelike flat zero mean curvature (ZMC) surfaces in four-dimensional Minkowski space R_1^4 are in one-to-one correspondence.
延伸閱讀
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