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arXiv · 2603.26903

On a special class of gradient Ricci solitons

José Nazareno Vieira Gomes·Marcus Antonio Mendonça Marrocos
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Abstract

We develop a method for constructing complete gradient Ricci solitons realized as fiber bundles endowed with warped metrics, and we establish necessary and sufficient conditions for their existence. As an application, we present new examples of complete gradient steady and shrinking Ricci solitons obtained via quotients by isometric group actions

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José Nazareno Vieira Gomes, Marcus Antonio Mendonça Marrocos. 2026-03-27. On a special class of gradient Ricci solitons. https://arxiv.org/abs/2603.26903

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