Projective Differential Geometrical Stru
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M.V. Babich; L.A. Bordag
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Article
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1999
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Elsevier Science
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English
⚖ 250 KB
The necessary and sufficient conditions that an equation of the form y"= f (x, y, y$) can be reduced to one of the Painleve equations under a general point transformation are obtained. A procedure to check these conditions is found. The theory of invariants plays a leading role in this investigation