Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)

doi:10.1093/imrn/rnaa266

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	Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)
	Foo, Wei Guo 1; Merker, Joel 2
	2022-03-23
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN	1073-7928
卷号	2022 期号:7 页码:5466-5505
摘要	Inspired by an article of R. Bryant on holomorphic immersions of unit disks into Lorentzian CR manifolds, we discuss the application of Cartan's method to the question of the existence of bi-disk D-2 in a smooth 9D real-analytic real hypersurface M-9 subset of C-5 with Levi signature (2, 2) passing through a fixed point. The result is that the lift to M-9 x U(2) of the image of the bi-disk in M-9 must lie in the zero set of two complex-valued functions in M-9 x U(2). We then provide an example where one of the functions does not identically vanish, thus obstructing holomorphic immersions.
DOI	10.1093/imrn/rnaa266
收录类别	SCI
语种	英语
资助项目	Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000773012300016
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60249
专题	中国科学院数学与系统科学研究院
通讯作者	Foo, Wei Guo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 2.Univ Paris Saclay, Univ Paris Sud, Ctr Natl Rech Sci, Lab Math Orsay, F-91405 Orsay, France
推荐引用方式 GB/T 7714	Foo, Wei Guo,Merker, Joel. Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2022,2022(7):5466-5505.
APA	Foo, Wei Guo,&Merker, Joel.(2022).Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2).INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2022(7),5466-5505.
MLA	Foo, Wei Guo,et al."Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2022.7(2022):5466-5505.