Tohoku Mathematical Journal

Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces

Takahiro Hashinaga, Akira Kubo, and Hiroshi Tamaru

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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.

Article information

Source
Tohoku Math. J. (2), Volume 68, Number 4 (2016), 559-568.

Dates
First available in Project Euclid: 4 February 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1486177215

Digital Object Identifier
doi:10.2748/tmj/1486177215

Mathematical Reviews number (MathSciNet)
MR3605447

Zentralblatt MATH identifier
1358.53054

Subjects
Primary: 53C40: Global submanifolds [See also 53B25]
Secondary: 53C30: Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C35: Symmetric spaces [See also 32M15, 57T15]

Keywords
Real hypersurfaces homogeneous submanifolds complex hyperbolic spaces Ricci solitons

Citation

Hashinaga, Takahiro; Kubo, Akira; Tamaru, Hiroshi. Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces. Tohoku Math. J. (2) 68 (2016), no. 4, 559--568. doi:10.2748/tmj/1486177215. https://projecteuclid.org/euclid.tmj/1486177215


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