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

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arxiv 2302.13456 v2 pith:VLP7MZ6K submitted 2023-02-27 math.CV

Xiaojun Huang , Song-Ying Li This is my paper · ORCID
classification math.CV
keywords bergmanmetricscomplexcurvaturedomainsfubini-studymetricapproach
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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.

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Cited by 2 Pith papers

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