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arXiv:1012.3846 [math.DG]AbstractReferencesReviewsResources

A note on Gaussian curvature of harmonic surfaces

Kaveh Eftekharinasab

Published 2010-12-17, updated 2011-04-20Version 2

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.

Journal: Proceeding of Institute of mathematics of Ukrainian Academy of Sciences. vol 7, no 4, pp. 146 --152. 2010
Categories: math.DG
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