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Point vortex dynamics on Kähler twistor spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2023Embargo end date: 01 Nov 2022 Belgium English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 64 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: S. Hohloch; G. Muarem;

doi: 10.1063/5.0146801 , 10.48550/arxiv.2211.13558

arXiv: 2211.13558

handle: 10067/1982190151162165141

Point vortex dynamics on Kähler twistor spaces

Abstract

In this paper, we provide tools to study the dynamics of point vortex dynamics on CPn and the flag manifold F1,2(C3). These are the only Kähler twistor spaces arising from four-manifolds. We give an explicit expression for Green’s function on CPn, which enables us to determine the Hamiltonian H and the equations of motions for the point vortex problem on CPn. Moreover, we determine the momentum map μ:F1,2(C3)→su*(3) on the flag manifold.

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Belgium
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Keywords

Mathematics - Differential Geometry, Twistor methods in differential geometry, 37J37, 37J39, 53D20, 70H06, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Physics, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Differential Geometry (math.DG), Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, FOS: Mathematics, Symplectic Geometry (math.SG), Mathematics - Dynamical Systems, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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