On conjugate pseudo-harmonic functions

Details On conjugate pseudo-harmonic functions On conjugate pseudo-harmonic functions

2009-05-19

arxiv.org/abs/0905.3184v1

Mathematics

Geometric Topology

9 pages, 2 figures

Scientific paper

We prove the following theorem. Let $U$ be a pseudo-harmonic function on a
surface $M^2$. For a real valued continuous function $V : M^2 \to {\mathbb R}$
to be a conjugate pseudo-harmonic function of $U$ on $M^2$ it is necessary and
sufficient that $V$ is open on level sets of $U$.

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