Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Cartan-Fubini Type Extension Theorems

Jun-Muk Hwang

pp. 369-377

Abstract

Liouville’s theorem in conformal geometry can be generalized to extension problems of holomorphic maps preserving certain structures on Fano manifolds. The most typical result of this type is Cartan-Fubini type extension theorem proved by Mok and myself. We give an introduction to this circle of problems and survey some recent results.