@inbook{7cbc8c5fbb274aa2b8ee0b265e3b4379,

title = "A CR embedding problem for an algebraic levi non-degenerate hypersurface into a hyperquadric",

abstract = "We give a survey on the current developments of the embeddability problem of a Levi non-degenerate hypersurface into its model, i.e., hyerquadrics. We also formulate and study a local sums-of-squares problem, and make connections with the embeddability problem.",

keywords = "CR embedding, Hyperquadrics, Spheres",

author = "Xiaojun Huang and Ming Xiao",

note = "Funding Information: Acknowledgements This work was supported in part by National Science Foundation DMS-1363418, DMS-1665412 for the first author. The work was supported in part by National Science Foundation DMS-1800549 for the second author. Publisher Copyright: {\textcopyright} 2018, Springer Nature Singapore Pte Ltd.",

year = "2018",

doi = "10.1007/978-981-13-1672-2_14",

language = "English (US)",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "185--198",

booktitle = "Springer Proceedings in Mathematics and Statistics",

}