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

doi:10.1093/imrn/rnaa266

	Holomorphic Immersions of Bi-Disks into 9D Real Hypersurfaces with Levi Signature (2,2)
	Foo, Wei Guo 2; Merker, Joel 1
刊名	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
	2022-03-23
卷号	2022 期号:7 页码:5466-5505
ISSN号	1073-7928
DOI	10.1093/imrn/rnaa266
英文摘要	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.
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
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000773012300016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60248]
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.Univ Paris Saclay, Univ Paris Sud, Ctr Natl Rech Sci, Lab Math Orsay, F-91405 Orsay, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China
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.