Color Visualization of Blaschke Self-Mappings of the Real Projective Plan

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dc.creatorBallantine, Cristina
dc.creatorGhisa, Dorin
dc.date2009-01-06
dc.date.accessioned2026-07-07T12:24:52Z
dc.date.available2026-07-07T12:24:52Z
dc.descriptionThe real projective plan $P^2$ can be endowed with a dianalytic structure making it into a non orientable Klein surface. Dianalytic self-mappings of that surface are projections of analytic self-mappings of the Riemann sphere $\widehat{\mathbb{C}}$. It is known that the only analytic bijective self-mappings of $\widehat{\mathbb{C}}$ are the Moebius transformations. The Blaschke products are obtained by multiplying particular Moebius transformations. They are no longer one-to-one mappings. However, some of these products can be projected on $P^2$ and they become dianalytic self-mappings of $P^2$. More exactly, they represent canonical projections of non orientable branched covering Klein surfaces over $P^2$. This article is devoted to color visualization of such mappings. The working tool is the technique of simultaneous continuation we introduced in previous papers.
dc.description16 pages, 5 pages of figures
dc.identifierhttps://arxiv.org/abs/0901.0588
dc.identifierhttp://arxiv.org/abs/0901.0588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214453
dc.subjectComplex Variables
dc.subject30D50
dc.titleColor Visualization of Blaschke Self-Mappings of the Real Projective Plan
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