The Douady-Earle extensions are not always harmonic

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Douady-Earle section, holomorphic motions, and some applications

We review several applications of Douady-Earle section to holomorphic motions over infinite dimensional parameter spaces. Using DouadyEarle section we study group-equivariant extensions of holomorphic motions. We also discuss the relationship between extending holomorphic motions and lifting holomorphic maps. Finally, we discuss several applications of holomorphic motions in complex analysis.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2018

ISSN: 0002-9939,1088-6826

DOI: 10.1090/proc/13047