Ricci solitons and real hypersurfaces in a complex space form
Cho, Jong Taek ; Kimura, Makoto
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 205-212 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  53C20,  53C15,  53C25 
@article{1245849443,
     author = {Cho, Jong Taek and Kimura, Makoto},
     title = {Ricci solitons and real hypersurfaces in a complex space form},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 205-212},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245849443}
}

Cho, Jong Taek; Kimura, Makoto. Ricci solitons and real hypersurfaces in a complex space form. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  205-212. http://gdmltest.u-ga.fr/item/1245849443/