Superharmonicity of Logarithm of Jacobian of harmonic mappings between surfaces
classification
🧮 math.CV
keywords
harmonicjacobianlogarithmmappingssurfacescurvaturedomaingaussian
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We prove that the Logarithm of the Jacobian of a sense preserving harmonic mappings between surfaces is superharmonic, provided that the Gaussian curvature of the image domain is non-negative.
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