Hyper-symplectic structures on integrable systems
classification
🧮 math.DG
keywords
hyper-symplecticintegrablemanifoldstructuresymplecticbasecarriesconnection
read the original abstract
We prove that an integrable system over a symplectic manifold, whose symplectic form is covariantly constant w.r.t. the Gauss-Manin connection, carries a natural hyper-symplectic structure. Moreover, a special Kaehler structure is induced on the base manifold.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.