Hess connection of a Bi-Lagrangian Structure on a Cubic Hypersurface
时间
2026年05月27日 13:00 至 14:30
地点
A6-101
线上
Zoom 204 323 0165
(BIMSA)
摘要
A bi-Lagrangian manifold is a quadruple \((M, \omega, F_1, F_2)\), where \(\omega\) is a symplectic form on \(M\), and \((F_1, F_2)\) is a pair of transversal Lagrangian foliations on the symplectic manifold \(M, \omega\). In other words, \((\omega, F_1, F_2)\) defines a Lagrangian structure on \(M\). Such a structure admits a unique torsion-free linear connection, called the Hess connection, which parallelizes the symplectic form and preserves both foliations. In this talk, we compute the Hess connection associated with a bi-Lagrangian structure arising from a cubic hypersurface and characterize the flatness condition.
Based on joint work with:
Karamoko Diarra, Univ des Sc, des Techni et des Techno de Bamako, Mali.
Adjaratou Arame Diaw, Univ Cheikh Anta Diop, Dakar, Senegal.
Frank Loray, Univ Rennes, CNRS, France.
Based on joint work with:
Karamoko Diarra, Univ des Sc, des Techni et des Techno de Bamako, Mali.
Adjaratou Arame Diaw, Univ Cheikh Anta Diop, Dakar, Senegal.
Frank Loray, Univ Rennes, CNRS, France.