Finite-volume quotient conjecture for bounded convex domains

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Let DD be a bounded convex domain with a finite-volume manifold quotient. Finite-volume quotient conjecture. The domain DD is biholomorphic to a bounded symmetric domain. This is the finite-volume analogue of Frankel's theorem, which assumes a compact quotient. The source presents it as an open problem and notes that the paper proves partial results.

References

Primary source

Kefeng Liu and Yunhui Wu, “Geometry of complex bounded domains with finite-volume quotients”, arXiv:1801.00459 (2018).

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