Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces

Xiaojun Huang; Jin Lu; Xiaomin Tang; Ming Xiao

doi:10.1016/j.aim.2020.107388

Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces

Xiaojun Huang, Jin Lu, Xiaomin Tang, Ming Xiao

School of Arts and Sciences, Mathematics

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

8 Scopus citations

Abstract

We provide in this paper a boundary characterization in terms of the boundary CR invariants (or pseudo-Hermitian invariants) for holomorphic isometric embeddings between indefinite hyperbolic spaces of general codimensions.

Original language	English (US)
Article number	107388
Journal	Advances in Mathematics
Volume	374
DOIs	https://doi.org/10.1016/j.aim.2020.107388
State	Published - Nov 18 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Indefinite hyperbolic spaces
Isometric mappings
Proper holomorphic mappings
Real hyperquadrics

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10.1016/j.aim.2020.107388

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title = "Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces",

abstract = "We provide in this paper a boundary characterization in terms of the boundary CR invariants (or pseudo-Hermitian invariants) for holomorphic isometric embeddings between indefinite hyperbolic spaces of general codimensions.",

keywords = "Indefinite hyperbolic spaces, Isometric mappings, Proper holomorphic mappings, Real hyperquadrics",

author = "Xiaojun Huang and Jin Lu and Xiaomin Tang and Ming Xiao",

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year = "2020",

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doi = "10.1016/j.aim.2020.107388",

language = "English (US)",

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AU - Huang, Xiaojun

AU - Lu, Jin

AU - Tang, Xiaomin

AU - Xiao, Ming

PY - 2020/11/18

Y1 - 2020/11/18

N2 - We provide in this paper a boundary characterization in terms of the boundary CR invariants (or pseudo-Hermitian invariants) for holomorphic isometric embeddings between indefinite hyperbolic spaces of general codimensions.

AB - We provide in this paper a boundary characterization in terms of the boundary CR invariants (or pseudo-Hermitian invariants) for holomorphic isometric embeddings between indefinite hyperbolic spaces of general codimensions.

KW - Indefinite hyperbolic spaces

KW - Isometric mappings

KW - Proper holomorphic mappings

KW - Real hyperquadrics

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JO - Advances in Mathematics

JF - Advances in Mathematics

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Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces

Abstract

All Science Journal Classification (ASJC) codes

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