Virasoro群与庞加莱第四几何
The Virasoro group and the fourth geometry of Poincaré
摘要：
本文详细研究了单叶双曲面$H^{1,1} \cong T \times T - Δ$上的几类共形Lorentz度规与具有自然射影结构的$Δ\cong T$的保向同构群$Diff_+(Δ)$的仿射余伴轨道之间的辛等价性.这将允许推广，也就是说，到零无限上的任意投射结构的情况。
英文摘要：
We investigate, in some details, symplectic equivalence between several conformal classes of Lorentz metrics on the hyperboloid of one sheet $H^{1,1} \cong T \times T - Δ$ and affine coadjoint orbits of the group $Diff_+(Δ)$ of orientation preserving diffeomorphisms of $Δ\cong T$ with its natural projective structure. This will allow for generalizations, namely, to the case of arbitrary projective structures on null infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
