Abstract
We study the geodesic flow on the global holomorphic sections of the bundle $\pi:{\mbox{TS}}^2\rightarrow \mbox{S}^2$ induced by the neutral Kähler metric on the space of oriented lines of ${\Bbb{R}}^3$, which we identify with ${\mbox{TS}}^2$. This flow is shown to be completely integrable when the sections are symplectic, and the behaviour of the geodesics is described.
Citation
Brendan Guilfoyle. Wilhelm Klingenberg. "Geodesic Flow on Global Holomorphic Sections of ${TS}^2$." Bull. Belg. Math. Soc. Simon Stevin 14 (2) 363 - 371, June 2007. https://doi.org/10.36045/bbms/1179839229
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