$\eta$-Einstein Sasakian immersions in non-compact Sasakian space forms

Gianluca Bande; Beniamino Cappelletti Montano; Andrea Loi

$\eta$-Einstein Sasakian immersions in non-compact Sasakian space forms

Differential Geometry 2020-02-19 v3

Authors: Gianluca Bande , Beniamino Cappelletti Montano , Andrea Loi

Abstract

The aim of this paper is to study Sasakian immersions of (non-compact) complete regular Sasakian manifolds into the Heisenberg group and into $\mathbb{B}^N\times \mathbb{R}$ equipped with their standard Sasakian structures. We obtain a complete classification of such manifolds in the $\eta$ -Einstein case.

Keywords

sasakian immersions eta-einstein heisenberg group sasakian space forms classification

Cite

@article{arxiv.1911.05511,
  title  = {$\eta$-Einstein Sasakian immersions in non-compact Sasakian space forms},
  author = {Gianluca Bande and Beniamino Cappelletti Montano and Andrea Loi},
  journal= {arXiv preprint arXiv:1911.05511},
  year   = {2020}
}

Comments

To appear on Annali di Matematica Pura ed Applicata, minor corrections. arXiv admin note: text overlap with arXiv:1810.00772

$\eta$-Einstein Sasakian immersions in non-compact Sasakian space forms

Abstract

Keywords

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