Boundedness of the first eigenvalue of the -Laplacian
Authors:
Ana-Maria Matei
Affiliation:
Department of Mathematics and Computer Science, Loyola University New Orleans, 6363 St. Charles Avenue, New Orleans, Louisiana 70118
Abstract:
We prove that for any , any compact manifold of three or more dimensions carries Riemannian metrics of volume one with the first eigenvalue of the -Laplacian arbitrarily large.