Some Surfaces with Zero Curvature inℍ2×ℝ

[摘要] We study surfaces defined as graph of the functionz=f(x,y)in the product spaceℍ2×ℝ. In particular, we completely classify flat or minimal surfaces given byf(x,y)=u(x)+v(y), whereu(x)andv(y)are smooth functions.

[学科分类] 应用数学