[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2014.51.1.213

GRADIENT RICCI SOLITONS WITH SEMI-SYMMETRY

Cho, Jong Taek (Department of Mathematics Chonnam National University)
Park, Jiyeon (Department of Mathematics and Statistics Graduate School Chonnam National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 213-219 More about this Journal

Abstract

We prove that a semi-symmetric 3-dimensional gradient Ricci soliton is locally isometric to a space form $\mathbb{S}^3$ , $\mathbb{H}^3$ , $\mathbb{R}^3$ (Gaussian soliton); or a product space $\mathbb{R}{\times}\mathbb{S}^2$ , $\mathbb{R}{\times}\mathbb{H}^2$ , where the potential function depends only on the nullity.

Keywords

semi-symmetric spaces; gradient Ricci solitons; Gaussian soliton;

Citations & Related Records

Reference

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