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Ricci solitons and real hypersurfaces in a complex space form

Jong Taek Cho, Makoto Kimura

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Source: Crossref

Published: Jan 1, 2009

DOI: 10.2748/tmj/1245849443

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Source 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 “η\eta-Ricci soliton” in a non-flat complex space form.

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Ricci solitons and real hypersurfaces in a complex space form — Mathematical Frontier Network