| Grant number: | 22/02454-8 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | May 22, 2023 - June 22, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Igor Mencattini |
| Grantee: | Igor Mencattini |
| Visiting researcher: | Pedroni Marco |
| Visiting researcher institution: | Università degli studi di Bergamo (Unibg), Italy |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
The aim of this project is to investigate the deformations of Poisson- Nijenhuis structures induced by a two-form satisfying a suitable integrability condition. From a strictly geometrical point of view these deformations are naturally related to the gauge transformations of the Dirac structures underlying the original Poisson- Nijenhuis manifold. On the other hand from the view point of mathematical physics they are expected to relate different integrable systems, as it is exemplified in [FMOP] and [FMP], where it was investigated the relation between the close and the open Toda system from this perspective and where it was analyzed the deformation of the canonical PN structures. (AU)
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