Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27) (Mathematical Notes)

Mathematical No/ex, 27 Originally published in 1981. The **Princeton Legacy Library** uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. CONTENTS INTRODUCTION CHAPTER 1. NONTECHNICAL SYSTEMIC DESCRIPTION AND ILLUSTRATIVE EXAMPLES CHAPTER 2. PRELIMINARIES CHAPTER 3. ALMOST MINIMIZING VARIFOLDS CHAPTER 4. EXISTENCE OF ALMOST MINIMIZING VARIFOLDS CHAPTER 5. POINTWISE CURVATURE ESTIMATES FOR STABLE HYPERSURFACES CHAPTER 6. DECOMPOSITION THEOREM FOR STABLE HYPERSURFACES CHAPTER 7. REGULARITY REFERENCES