We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For “ half” of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-Kähler potentials with prescribed Ricci curvature.
|Number of pages||21|
|Journal||Journal of Geometric Analysis|
|Publication status||Published - Jul 2018|
- Kähler potential
- Normal form
- Ricci curvature
- Sasakian manifolds