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- W2891335124 abstract "Let $f$ be a smooth plurisubharmonic function which solves $$ det(f_{ibar j})=1;;;;;;mbox{in }Omegasubset mathbb C^n.$$ Suppose that the metric $omega_{f}=sqrt{-1}f_{ibar j}dz_{i}wedge dbar z_{j}$ is complete and $f$ satisfies the growth condition $$ C^{-1}(1+|z|^2)leq fleq C(1+ |z|^2),;;;; as;;; |z|to infty. $$ for some $C>0,$ then $f$ is quadratic." @default.
- W2891335124 created "2018-09-27" @default.
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- W2891335124 date "2018-09-04" @default.
- W2891335124 modified "2023-09-25" @default.
- W2891335124 title "A Liouville Theorem on the PDE $det(f_{ibar j})=1$" @default.
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- W2891335124 doi "https://doi.org/10.48550/arxiv.1809.00824" @default.
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