# RICCI SOLITONS AND REAL HYPERSURFACES IN A COMPLEX SPACE FORM

## Abstract

We prove that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field. Moreover, we classify a real hypersurface admitting so-called “$\eta$-Ricci soliton” in a non-flat complex space form.

## Journal

• Tohoku Mathematical Journal, Second Series

Tohoku Mathematical Journal, Second Series 61(2), 205-212, 2009

Mathematical Institute, Tohoku University

## Codes

• NII Article ID (NAID)
130003339582
• Text Lang
ENG
• ISSN
0040-8735
• Data Source
J-STAGE

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