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Jan 12, 2019 at 20:11 vote accept user76284
Jan 11, 2019 at 11:57 comment added Ben McKay The argument is long, but I am convinced that Molzon and Mortensen are right, and that their two papers on this subject are correct and are also the best written ones. Their other paper you want to look at: Molzon, Mortensen. The Schwarzian derivative for maps between manifolds with complex projective connections. Trans. Amer. Math. Soc. 348 (1996), no. 8, 3015–3036.
Jan 11, 2019 at 11:31 comment added Ben McKay I don't think that Pizarro is right about these "other functions". Gunning, On the uniformization of complex manifolds: the role of connections", p. 50, seems to say that the Schwarzian derivative vanishes precisely for projective transformations. This is made completely clear and explicit in the paper Molzon, Mortensen, Differential operators associated with holomorphic mappings. Ann. Global Anal. Geom. 12 (1994), no. 3, 291–304.
Jan 10, 2019 at 22:09 answer added Robert Bryant timeline score: 16
Jan 10, 2019 at 20:15 history asked user76284 CC BY-SA 4.0