Riemannian metrics with large $\lambda\sb 1$

B. Colbois, J. Dodziuk
1994 Proceedings of the American Mathematical Society  
We show that every compact smooth manifold of three or more dimensions carries a Riemannian metric of volume one and arbitrarily large first eigenvalue of the Laplacian.
doi:10.1090/s0002-9939-1994-1213857-9 fatcat:stknskqpf5h3dj23gbvit47kee