Tohoku Mathematical Journal
2016
December
SECOND SERIES VOL. 68, NO. 4

Tohoku Math. J.
68 (2016), 559-568

Title HOMOGENEOUS RICCI SOLITON HYPERSURFACES IN THE COMPLEX HYPERBOLIC SPACES

Author Takahiro Hashinaga, Akira Kubo and Hiroshi Tamaru

(Received July 10, 2014, revised January 5, 2015)
Abstract. A Lie hypersurface in the complex hyperbolic space is an orbit of a cohomogeneity one action without singular orbit. In this paper, we classify Ricci soliton Lie hypersurfaces in the complex hyperbolic spaces.

Mathematics Subject Classification. Primary 53C40; Secondary 53C30, 53C25, 53C35.
Key words and phrases. Real hypersurfaces, homogeneous submanifolds, complex hyperbolic spaces, Ricci solitons.

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