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arXiv · 1603.06533

Superharmonicity of Logarithm of Jacobian of harmonic mappings between surfaces

David Kalaj
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Abstract

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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David Kalaj. 2016-03-21. Superharmonicity of Logarithm of Jacobian of harmonic mappings between surfaces. https://arxiv.org/abs/1603.06533

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