Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces

Takahiro Hashinaga; Akira Kubo; Hiroshi Tamaru

doi:10.2748/tmj/1486177215

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Home > Journals > Tohoku Math. J. (2) > Volume 68 > Issue 4 > Article

2016 Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces

Takahiro Hashinaga, Akira Kubo, Hiroshi Tamaru

Tohoku Math. J. (2) 68(4): 559-568 (2016). DOI: 10.2748/tmj/1486177215

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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.

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Takahiro Hashinaga. Akira Kubo. Hiroshi Tamaru. "Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces." Tohoku Math. J. (2) 68 (4) 559 - 568, 2016. https://doi.org/10.2748/tmj/1486177215

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Published: 2016

First available in Project Euclid: 4 February 2017

zbMATH: 1358.53054

MathSciNet: MR3605447

Digital Object Identifier: 10.2748/tmj/1486177215

Subjects:

Primary: 53C40

Secondary: 53C25 , 53C30 , 53C35

Keywords: complex hyperbolic spaces , homogeneous submanifolds , Real hypersurfaces , Ricci solitons

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Tohoku Math. J. (2)

Vol.68 • No. 4 • 2016

Tohoku University, Mathematical Institute

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Takahiro Hashinaga, Akira Kubo, Hiroshi Tamaru "Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces," Tohoku Mathematical Journal, Tohoku Math. J. (2) 68(4), 559-568, (2016)

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