We show that bi-flat F-manifolds can be interpreted as natural geometrical structures
encoding the almost duality for Frobenius manifolds without metric. Using this framework, we …

Generalizing a construction presented in Arsie and Lorenzoni (Lett Math Phys 107: 1919–
1961, 2017), we show that the orbit space of B 2 less the image of the coordinate lines under …

A bstract We construct\(\mathcal {N}= 4D\left (2, 1;\\alpha\right)\) superconformal quantum
mechanical system for any configuration of vectors forming a∨-system. In the case of a …

In this paper, we extend purely non-local Hamiltonian formalism to a class of Riemannian F-
manifolds, without assumptions on the semisimplicity of the product○ or on the flatness of …

In this paper, by classical solutions we mean solutions to Fuchsian type meromorphic linear
integrable Pfaffian systems dy= Ω y on the complex linear spaces ℂ n, n≥ 1, where y (z)=(y …

In the thesis, we show that the orbit space of B_2 can be equipped with two Frobenius
manifolds structures related to the defocusing and focusing NLS (nonlinear Shrodinger) …

We construct Frobenius structures on the C^ * C×-bundle of the complement of a toric
arrangement associated with a root system, by making use of a one-parameter family of …

We present a survey of the work done by the authors in the last few years developing the
theory of bi-flat F-manifolds and exploring their relationships with integrable hierarchies …

Линейные пфаффовы системы и классические решения треугольных уравне Page 1
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМ. ВАСТЕКЛОВА, 2020, т. 308, с. 210–221 УДК …