Riemannian F-Manifolds, Bi-Flat F-Manifolds, and Flat Pencils of Metrics

DOI10.1093/imrn/rnab203OpenAlexW3187708838WikidataQ115273925 ScholiaQ115273925MaRDI QIDQ5047068

Paolo Lorenzoni, Alexandr Buryak, Paolo Rossi, Alessandro Arsie

Publication date: 9 November 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09380

zbMATH Keywords

Legendre transformationsRiemannian F-manifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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