Mappings of bi-conformal energy admit a sharp characterization of boundary cusp singularities that can be created or flattened, yielding a bi-conformal variant of the Riemann mapping theorem for non-quasiball domains.
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Creating and Flattening Cusp Singularities by Deformations of Bi-conformal Energy
Mappings of bi-conformal energy admit a sharp characterization of boundary cusp singularities that can be created or flattened, yielding a bi-conformal variant of the Riemann mapping theorem for non-quasiball domains.