Bergman metrics as pull-backs of the Fubini-Study metric

Autor:	Huang, Xiaojun, Li, Song-Ying
Rok vydání:	2023
Předmět:	Mathematics - Complex Variables 32F45 32Q30 32E10 53C25
Druh dokumentu:	Working Paper
Popis:	Domains and more generally complex manifolds whose Bergman metrics have constant holomorphic sectional curvature are characterized. Our approach is to treat the Bergman metrics as the pull-back by the Bergman-Bochner maps of the Fubini-Study metric of the complex projective space of infinite dimension. Several new domains with surprising curvature properties for their Bergman metrics are constructed. A new conjecture is also formulated at the end of the paper.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.13456 Zobrazit plný text záznamu View this record from Arxiv