@article{de37bb5bffbf49f395a5d1ace326f67b,

title = "Locally removable singularities for K{\"a}hler metrics with constant holomorphic sectional curvature",

abstract = "Let n ≥ 2 be an integer, and let Bn ⊂ Cn be the unit ball. Let K ⊂ Bn be a compact subset such that Bn \ K is connected, or K = {z = (z1,..., zn)|z1 = z2 = 0} ⊂ Cn. By the theory of developing maps, we prove that a K{\"a}hler metric on Bn \K with constant holomorphic sectional curvature uniquely extends to Bn.",

author = "Gong, {Si En} and Hongyi Liu and Bin Xu",

note = "Funding Information: Received by the editors January 2, 2019, and, in revised form, June 8, 2019, July 28, 2019, and September 3, 2019. 2010 Mathematics Subject Classification. Primary 53B35, 32A10. The third author was supported in part by the National Natural Science Foundation of China (Grant nos. 11571330 and 11971450) and the Fundamental Research Funds for the Central Universities. Part of the work was completed while the third author was visiting the Institute of Mathematical Sciences at ShanghaiTech University in Spring 2019. The third author is the corresponding author. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",

year = "2020",

doi = "10.1090/proc/14835",

language = "English (US)",

volume = "148",

pages = "2179--2191",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}