Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 6 (1999), No. 1, Page 87-99
We have two kinds of upper bounds of the eigenvalues of the Laplacian on forms on compact Riemannian manifolds. One is implicit in terms of the Ricci curvature and the injective radius. The other is explicit for a class of Riemannian manifolds.