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On \(\eta \)-Einstein Para-S-manifolds

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Abstract

We introduce para-S-manifolds and obtain some results concerning the curvature of these manifolds. In particular, we prove that there does not exist Einstein para-S-manifold, and consequently, we investigate \(\eta \)-Einstein para-S-manifolds and the conditions for them to be \(\xi \)-conformally flat.

Keywords

Almost para-f-structure Para-S-manifold \(\eta \)-Einstein \(\xi \)-Conformally flat 

Mathematics Subject Classification

53C99 53C15 

Notes

Acknowledgments

The authors wish to express their gratitude to Prof. Dr. B. Cappelletti Montano and to the referees for their many valuables suggestions in order to improve the paper. The second and the third authors are partially supported by the PAI group FQM-327 (Junta de Andalucía, Spain, 2013) and by the project MTM 2011-22621 (MINECO, Spain, 2011).

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Copyright information

© Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2015

Authors and Affiliations

  1. 1.Departamento de Geometría y Topología, Facultad de MatemáticasUniversidad de SevillaSevillaSpain

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