### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | Universiteit Twente |

Number of pages | 8 |

Publication status | Published - 1998 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
---|---|

Publisher | University of Twente, Department of Applied Mathematics |

No. | 1466 |

ISSN (Print) | 0169-2690 |

### Keywords

- EWI-3286
- MSC-35Q99
- MSC-81T40
- MSC-17B66
- IR-65655
- MSC-35N05
- METIS-141310

### Cite this

*Symmetries of the WDVV equations and Chazy-type equations*. (Memorandum / Department of Applied Mathematics; No. 1466). Enschede: Universiteit Twente.

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*Symmetries of the WDVV equations and Chazy-type equations*. Memorandum / Department of Applied Mathematics, no. 1466, Universiteit Twente, Enschede.

**Symmetries of the WDVV equations and Chazy-type equations.** / Martini, Ruud; Post, Gerhard F.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Symmetries of the WDVV equations and Chazy-type equations

AU - Martini, Ruud

AU - Post, Gerhard F.

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - EWI-3286

KW - MSC-35Q99

KW - MSC-81T40

KW - MSC-17B66

KW - IR-65655

KW - MSC-35N05

KW - METIS-141310

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Symmetries of the WDVV equations and Chazy-type equations

PB - Universiteit Twente

CY - Enschede

ER -