A note on Gaussian curvature of harmonic surfaces

Kaveh Eftekharinasab

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arXiv · 1012.3846

A note on Gaussian curvature of harmonic surfaces

Kaveh Eftekharinasab

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Abstract

It was proved that the fundamental group of the space of harmonic polynomials of degree $n(n \geq 2)$, with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically nonequivalent conjugate harmonic functions having the same Gaussian curvature.

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Kaveh Eftekharinasab. 2010-12-17. A note on Gaussian curvature of harmonic surfaces. https://arxiv.org/abs/1012.3846

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