GRADIENT RICCI SOLITONS WITH SEMI-SYMMETRY

Title & Authors
GRADIENT RICCI SOLITONS WITH SEMI-SYMMETRY
Cho, Jong Taek; Park, Jiyeon;

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