## The First Eigenvalue of the Laplacian on $p$-Forms and Metric Deformations

J. Math. Sci. Univ. Tokyo
Vol. 5 (1998), No. 2, Page 333--344.

Takahashi, Junya
The First Eigenvalue of the Laplacian on $p$-Forms and Metric Deformations
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.