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2021 G-Equivariant Embedding Theorems for CR Manifolds of High Codimension
Kevin Fritsch, Hendrik Herrmann, Chin-Yu Hsiao
Michigan Math. J. Advance Publication 1-44 (2021). DOI: 10.1307/mmj/20205864

Abstract

Let (X,T1,0X) be a (2n+1+d)-dimensional compact CR manifold with codimension d+1, d1, and let G be a d-dimensional compact Lie group with CR action on X and T be a globally defined vector field on X such that CTX=T1,0XT0,1XCTCg_, where g_ is the space of vector fields on X induced by the Lie algebra of G. In this work, we show that if X is strongly pseudoconvex in the direction of T and n2, then there exists a G-equivariant CR embedding of X into CN for some NN. We also establish a CR orbifold version of Boutet de Monvel’s embedding theorem.

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Kevin Fritsch. Hendrik Herrmann. Chin-Yu Hsiao. "G-Equivariant Embedding Theorems for CR Manifolds of High Codimension." Michigan Math. J. Advance Publication 1 - 44, 2021. https://doi.org/10.1307/mmj/20205864

Information

Received: 29 January 2020; Revised: 29 October 2020; Published: 2021
First available in Project Euclid: 12 August 2021

Digital Object Identifier: 10.1307/mmj/20205864

Subjects:
Primary: 32V30
Secondary: 32V05, 32V20

Rights: Copyright © 2021 The University of Michigan

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