Extremal discs and the regularity of CR mappings in higher codimension

A. Tumanov

doi:10.1353/ajm.2001.0022

Extremal discs and the regularity of CR mappings in higher codimension

A. Tumanov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We develop a local theory of extremal analytic discs attached to a strictly pseudoconvex manifold of higher codimension in complex space. We then apply the results to prove the regularity of CR homeomorphisms of such manifolds.

Original language	English (US)
Pages (from-to)	445-473
Number of pages	29
Journal	American Journal of Mathematics
Volume	123
Issue number	3
DOIs	https://doi.org/10.1353/ajm.2001.0022
State	Published - Jun 2001

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Mathematics(all)

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10.1353/ajm.2001.0022

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abstract = "We develop a local theory of extremal analytic discs attached to a strictly pseudoconvex manifold of higher codimension in complex space. We then apply the results to prove the regularity of CR homeomorphisms of such manifolds.",

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Extremal discs and the regularity of CR mappings in higher codimension

Abstract

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