• Corpus ID: 119630136

Sasakian immersions into the sphere

  title={Sasakian immersions into the sphere},
  author={Beniamino Cappelletti-Montano and Andrea Loi},
  journal={arXiv: Differential Geometry},
The aim of this paper is to study Sasakian immersions of compact Sasakian manifolds into the odd-dimensional sphere equipped with the standard Sasakian structure. We obtain a complete classification of such manifolds in the Einstein and $\eta$-Einstein cases when the codimension of the immersion is $4$. Moreover, we exhibit infinite families of compact Sasakian $\eta$--Einstein manifolds which cannot admit a Sasakian immersion into any odd-dimensional sphere. Finally, we show that, after… 

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