## Bulletin of the Australian Mathematical Society

### Local integrability of CR-hypersurfaces

a1 Department of Mathematics, KAIST P.O. Box 150, Cheongryang, Seoul 130-650, Korea

Abstract

By characterising CR-hypersurfaces of dimension m having m strongly independent CR-functions, we find the necessary condition for a CR-hypersurface to be locally integrable and show that the same condition is also sufficient if the CR-hypersurface is strongly pseudoconvex and has m strongly independent CR-functions.