Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
نویسندگان
چکیده
منابع مشابه
On Dispersionless Hirota Type Equations
Various connections between 2-D gravity and KdV, dKdV, inverse scattering, etc. are established. For KP we show how to extract from the dispersionless limit of the Fay differential identity of Takasaki-Takebe the collection of differential equations for F = log(τ ) which play the role of Hirota type equations in the dispersionless theory. 1. HIROTA EQUATIONS In [7] we showed how second derivati...
متن کاملLattice geometry of the Hirota equation
Geometric interpretation of the Hirota equation is presented as equation describing the Laplace sequence of two-dimensional quadrilateral lattices. Different forms of the equation are given together with their geometric interpretation: (i) the discrete coupled Volterra system for the coefficients of the Laplace equation, (ii) the gauge invariant form of the Hirota equation for projective invari...
متن کاملOn Kernel Formulas and Dispersionless Hirota Equations
We rederive dispersionless Hirota equations of the dispersionless Toda hierarchy from the method of kernel formula provided by Carroll and Kodama. We then apply the method to derive dispersionless Hirota equations of the extended dispersionless BKP(EdBKP) hierarchy. Moreover, we verify associativity equations (WDVV equations) in the EdBKP hierarchy from dispersionless Hirota equations and give ...
متن کاملSolution of the Dispersionless Hirota Equations
The dispersionless differential Fay identity is shown to be equivalent to a kernel expansion providing a universal algebraic characterization and solution of the dispersionless Hirota equations. Some calculations based on D-bar data of the action are also indicated.
متن کاملVeronese curves and webs: interpolation
In this survey, we will be interested in Veronese webs (particular case of one parameter families of foliations), as defined by [8, 16], and ordinary webs (finite families of foliations in general position), as defined by Blaschke, Akivis and Goldberg [1–5, 9]. If we look at the literature about webs, these two domains were developed apparently independently. Our main goal is to establish the l...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2014
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004114000164