Title: Application of a unified Kenmotsu-type formula for surfaces in Euclidean or Lorentzian three-space,
Abstract: Kenmotsu's formula describes surfaces in Euclidean 3-space by their mean
curvature functions and Gauss maps. In Lorentzian 3-space,
Akutagawa-Nishikawa's formula and Magid's formula are Kenmotsu-type formulas
for spacelike surfaces and for timelike surfaces, respectively. We apply them
to a few problems concerning rotational or helicoidal surfaces with constant
mean curvature. Before that, we show that the three formulas above can be
written in a unified single equation.