Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of legendrian curves
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چکیده
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Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
Etienne Ghys has recently discovered a beautiful theorem: given a diffeomorphism of the projective line, there exist at least four distinct points in which the diffeomorphism is unusually well approximated by projective transformations [8]. The points in question are the ones in which the 3-jet of the diffeomorphism is that of a projective transformation; in a generic point the order of approxi...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 1996
ISSN: 1022-1824,1420-9020
DOI: 10.1007/bf01587937