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Mathematics | Physical Sciences and Mathematics
We study the geodesic flow on the global holomorphic sections of the bundle π : TS2 → S 2 induced by the neutral K¨ahler metric on the space of oriented lines of R 3 , which we identify with TS2 . This flow is shown to be completely integrable when the sections are symplectic, and the behaviour of the geodesics is described.
Brendan Guilfoyle. Wilhelm Klingenberg. "Geodesic Flow on Global Holomorphic Sections of TS2." Bull. Belg. Math. Soc. Simon Stevin 14 (2) 363 - 371, June 2007. https://doi.org/10.36045/bbms/1179839229