$n$-Dimensional compact complex analytic manifolds having $n-1$ algebraically independent meromorphic functions

Manifolds of the type indicated in the title have been investigated for $n=2$ by Kodaira, whose methods were adopted by Kawai in application to the case $n=3$. In the present note we use the same methods to investigate the general case. We deduce a bimeromorphic classification of the manifolds in question. Their complete description can be obtained on the basis of certain results of Hironaka.