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Rigid Embeddings of Sasakian Hyperquadrics in $$mathbb {C}^{n+1}$$ |
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| Authors: | Vladimir Ezhov Martin Kolář Gerd Schmalz |
| Affiliation: | 1.School of Computer Science, Engineering and Mathematics,Flinders University,Bedford Park,Australia;2.Mech-Mat, Moscow State University,Moscow,Russia;3.Department of Mathematics and Statistics,Masaryk University,Brno,Czech Republic;4.School of Science and Technology,University of New England,Armidale,Australia |
| Abstract: | 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. |
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