Minimal surfaces and Schwarz lemma
نویسندگان
چکیده
We prove a sharp Schwarz lemma type inequality for the Weierstrass–Enneper parameterization of minimal disks. It states following. If F:D→Σ is conformal harmonic disk Σ⊂R3, where D unit and |Σ|=πR2, then |Fx(z)|(1−|z|2)≤R. some z previous equality, surface an affine image disk, F linear up to Möbius transformation disk.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2023
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2023.01.002