Seminar On Minimal Submanifolds. (AM-103), Volume 103

by Enrico Bombieri

Overview

A classic treatment of minimal submanifolds from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

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Product Details

ISBN-13:	9780691083193
Publisher:	Princeton University Press
Publication date:	01/21/1984
Series:	Annals of Mathematics Studies , #103
Pages:	368
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• CONTENTS, pg. v
• INTRODUCTION, pg. vii
• SURVEY LECTURES ON MINIMAL SUBMANIFOLDS, pg. 1
• ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES, pg. 53
• EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS, pg. 65
• ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES?, pg. 99
• ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS, pg. 111
• REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP, pg. 127
• CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS, pg. 147
• MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS, pg. 169
• MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE, pg. 177
• REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX, pg. 199
• AFFINE MINIMAL SURFACES, pg. 207
• THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM, pg. 217
• NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR, pg. 225
• APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS, pg. 243
• SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS, pg. 261
• ON THE GEHRING LINK PROBLEM, pg. 271
• CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES, pg. 275
• REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY, pg. 293
• NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS, pg. 303
• SOME PROPERTIES OF CAPILLARY FREE SURFACE, pg. 323
• BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY, pg. 339
• Backmatter, pg. 359