  Recently Penskoi [J. Geom. Anal. 25 (2015), 2645-2666, arXiv:1308.1628]
generalized the well known two-parametric family of Lawson tau-surfaces
$\tau_{r,m}$ minimally immersed in spheres to a three-parametric family
$T_{a,b,c}$ of tori and Klein bottles minimally immersed in spheres. It was
remarked that this family includes surfaces carrying all extremal metrics for
the first non-trivial eigenvalue of the Laplace-Beltrami operator on the torus
and on the Klein bottle: the Clifford torus, the equilateral torus and
surprisingly the bipolar Lawson Klein bottle $\tilde{\tau}_{3,1}$. In the
present paper we show in Theorem 1 that this three-parametric family
$T_{a,b,c}$ includes in fact all bipolar Lawson tau-surfaces
$\tilde{\tau}_{r,m}$. In Theorem 3 we show that no metric on generalized Lawson
surfaces is maximal except for $\tilde{\tau}_{3,1}$ and the equilateral torus.
