Implicit Function Theorems and Isometric Embeddings

Abstract

This is a somewhat rewritten and expanded version of a Ph. D. dissertation at the Courant Institute. The author wishes to express his gratitude to his thesis advisor, Professor Jurgen Moser, for his assistance and encouragement. This paper was prepared for publication while the author was supported by a grant from the National Science Foundation (GP-7952X2) made to the Institute for Advanced Study.