Previous calculations of the Ricci curvature for the manifold Diff(S 1)/S1 are extended to Diff(S1)/SL (2,ℝ). These manifolds are distinguished by being coadjoint orbits of Diff(S 1) which admit compatible symplectic and complex structures, making them Kähler manifolds.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics