A note on Gaussian curvature of harmonic surfaces

Details A note on Gaussian curvature of harmonic surfaces A note on Gaussian curvature of harmonic surfaces

2010-12-17

arxiv.org/abs/1012.3846v2

Proceeding of Institute of mathematics of Ukrainian Academy of Sciences. vol 7, no 4, pp. 146 --152. 2010

Mathematics

Differential Geometry

Scientific paper

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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