2022 年 74 巻 2 号 p. 427-446
We prove that the energy density of uniformly continuous, quasiconformal mappings, omitting two points in ℂℙ1, is equal to zero. We also prove the sharpness of this result, constructing a family of uniformly continuous, quasiconformal mappings, whose areas grow asymptotically quadratically. Finally, we prove that the energy density of pseudoholomorphic Brody curves, omitting three “complex lines” in general position in ℂℙ2, is equal to zero.
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