Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation

A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using polynomials or algebraic functions explicitly. The purpo...

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Bibliographic Details
Main Authors: Mitsuo Kato, Toshiyuki Mano, Jiro Sekiguchi
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/2/art/opuscula_math_3810.pdf