Ricci solitons and real hypersurfaces in a complex space form
Jong Taek Cho and Makoto Kimura
Source: Tohoku Math. J. (2) Volume 61, Number 2 (2009), 205-212.
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.
Primary Subjects: 53C20
Secondary Subjects: 53C15, 53C25
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1245849443
Digital Object Identifier: doi:10.2748/tmj/1245849443
Zentralblatt MATH identifier:
05608370
Mathematical Reviews number (MathSciNet):
MR2541405
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