A CLASS OF HYPERBOLIC MANIFOLDS

Chapters in this book

1. Frontmatter i
2. THE FOUNDING OF THE ANNALS STUDIES v
3. FOREWORD vii
4. TABLE OF CONTENTS ix
5. PROJECTIVE CAPACITY 1
6. ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES 29
7. GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē₈ AND MINIMAL SINGULAR COMPACTIFICATIONS OF C² 47
8. ON METRICS AND DISTORTION THEOREMS 65
9. NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS 93
10. DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL 101
11. PERTURBATIONS OF ANALYTIC VARIETIES 127
12. BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES 133
13. NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) 151
14. THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS 155
15. THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cⁿ 171
16. STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS 179
17. GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN 199
18. MAPPINGS BETWEEN CR MANIFOLDS 227
19. BOUNDARY REGULARITY OF ∂̅ 243
20. ON CP¹ AS AN EXCEPTIONAL SET 261
21. ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C² 277
22. A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN’S THEOREM B 291
23. SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS 299
24. LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES 327
25. ON APPELL’S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS 345
26. A CLASS OF HYPERBOLIC MANIFOLDS 357
27. INTERPOLATION MANIFOLDS 373
28. SURVEY OF SOME RECENT RESULTS IN C^∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES 393
29. THE FERMAT SURFACE AND ITS PERIODS 413
30. SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS 429