Abstract
We give an affirmative solution to a conjecture of Cheng proposed in 1979
which asserts that the Bergman metric of a smoothly bounded strongly
pseudoconvex domain in
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1665412
Award Identifier / Grant number: DMS-2000050
Award Identifier / Grant number: DMS-1800549
Funding statement: Supported in part by NSF grants DMS-1665412 and DMS-2000050. Ming Xiao was supported in part by NSF grant DMS-1800549.
Acknowledgements
The first author would like to thank Dan Burns for his discussions related the work here during the joint Vietnam–USA summer conference in Quy Nhon, Vietnam in June, 2019. We thank the anonymous referees for helpful comments.
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Articles in the same Issue
- Frontmatter
- Eichler cohomology and zeros of polynomials associated to derivatives of L-functions
- Subgroups of elliptic elements of the Cremona group
- On derived equivalences and homological dimensions
- Area minimizing surfaces of bounded genus in metric spaces
- Half-space theorems for the Allen–Cahn equation and related problems
- Stability conditions on product varieties
- Uniform bounds on harmonic Beltrami differentials and Weil–Petersson curvatures
- Bergman–Einstein metrics, a generalization of Kerner’s theorem and Stein spaces with spherical boundaries
- On birational boundedness of foliated surfaces