Abstract

In this paper we prove some Calabi-Bernstein type and non-existence results concerning complete [φ,e→3]-minimal surfaces in R3 whose Gauss maps lie on compacts subsets of open hemispheres of S2. We also give a general non-existence result for complete spacelike [φ,e→3]-maximal surfaces in L3 and, in particular, we obtain a Calabi-Bernstein type result when φ˙ is bounded.

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