*-Ricci solitons of real hypersurfaces in non-flat complex space forms

doi:10.1016/j.geomphys.2014.09.004

Journal of Geometry and Physics

Volume 86, December 2014, Pages 408-413

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Abstract

In this paper the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-Ricci soliton with potential vector field being the structure vector field $ξ$ are studied. At the end of the paper discussion on this new notion and ideas for further work are presented.

MSC

primary

53B20

secondary

53C15

53C25

Keywords

Real hypersurface

*-Ricci soliton

*-Ricci tensor

Complex projective space

Complex hyperbolic space