November 2011
Intermediate to advanced
528 pages
10h 30m
English
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Appendix C. Complex Monge-Ampère Equations
Contents
C.1 Introduction 457
C.2 Strictly Parabolic Manifolds 460
C.3 Foliations and Monge-Ampère Equations 461
C.4 Adapted Complex Structures 464
C.5 CR Submanifolds of Grauert Tubes 468
C.5.1 The Szegö Kernel 469
C.5.2 Chains and the Characteristic Flow 469
Appendix C reviews a few notions and results on homogeneous complex Monge-Ampère equations. In particular, one recalls strictly parabolic manifolds, foliation theoretic aspects related to the complex Monge-Ampère equations, Grauert's adapted complex structures, and CR submanifolds of Grauert tubes (Szegö kernel, chains and the characteristic flow).
Keywords: (Homogeneous) complex Monge-Ampère equation; strictly parabolic manifold; Monge-Ampère foliation; ...
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