@book{1c3ce119b40d44a685e4261ed6115d08,

title = "Symmetries of the WDVV equations and Chazy-type equations",

abstract = "We investigate the symmetry structure of the WDVV equations. We obtain an $r$-parameter group of symmetries, where $r = (n^2 + 7n + 2)/2 + \lfloor n/2 \rfloor$. Moreover it is proved that for $n=3$ and $n=4$ these comprise all symmetries. We determine a subgroup, which defines an $SL_2$-action on the space of solutions. For the special case $n=3$ this action is compared to the $SL_2$-symmetry of the Chazy equation. For $n=4$ and $n=5$ we construct new, Chazy-type, solutions.",

keywords = "EWI-3286, MSC-35Q99, MSC-81T40, MSC-17B66, IR-65655, MSC-35N05, METIS-141310",

author = "Ruud Martini and Post, {Gerhard F.}",

note = "Imported from MEMORANDA",

year = "1998",

language = "Undefined",

series = "Memorandum / Department of Applied Mathematics",

publisher = "University of Twente",

number = "1466",

address = "Netherlands",

}