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比利时vs摩洛哥足彩 ,
university of california san diego

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math 258

prof. song-ying li

university of california, irvine

bergman metric with constant curvature and uniformization theorems

abstract:

this talk is based on a joint work with xiaojun huang entitled “bergman metrics as pull-backs of the fubini-study metric”. we study domains in cn or stein manifolds m such that their bergman metrics have constant holomorphic sectional curvature κ. we prove a uniformization theorem when κ < 0 through the calabi rigidity theorem and holomorphic extension theorems. we also discuss the case when κ ≥ 0. we provide several interesting examples of the existence of such m. under certain conditions on m, we prove that the bergman metric of m can not have non-negative constant holomorphic sectional curvatures.

may 11, 2023

1:00 pm

apm 5829

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