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arXiv · 2412.11789

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

Shun Maeta
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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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Shun Maeta. 2024-12-16. Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons. https://arxiv.org/abs/2412.11789

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