Adams Inequality on Pinched Hadamard Manifolds

Abstract

In this article we prove the Adams type inequality for $W^{m,p}(M)$ functions, where $m$ is a positive integer less than n and $(M,g)$ is a Hadamard manifold with Ricci curvature bounded from below and sectional curvature bounded from above by a negative constant.

The main theorem has been improved in this version