Is there a classification of Sasaki or Sasaki-Einstein manifolds?
What are important examples?



Classification of Sasaki manifolds
The book [Sasakian Geometry](http://books.google.com/books?id=ERYZAQAAIAAJ) by Charles Boyer and the late Krzysztof Galicki contains a wealth of information on this topic. As far as I know there is no classification, but there are of course tons of examples.


