Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons

2024/12/16 by Shun Maeta, Maeta, Shun
Physics and Astronomy · #53C20 #53C21 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2412.11789

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we rigorously analyze the scalar curvature of complete expanding gradient Yamabe solitons. We completely classify nontrivial complete expanding gradient Yamabe solitons in both cases: when the scalar curvature is greater than the soliton constant and when it is less than the soliton constant.

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