Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 5 (1998), No. 2, Page 333-344
We prove that the limits of the first eigenvalues of functions and $1$-forms for modified Gentile-Pagliara's metric deformation are both 0. It essentially means that this deformation is not a counter example of Berger's problem for $1$-forms.