On a special class of gradient Ricci solitons
Jos\'e Nazareno Vieira Gomes, Marcus Antonio Mendon\c{c}a Marrocos
TL;DR
This paper introduces a method for constructing complete gradient Ricci solitons as fiber bundles with warped metrics, providing new examples of steady and shrinking solitons through group quotients.
Contribution
It develops a novel construction technique for gradient Ricci solitons on fiber bundles and establishes conditions for their existence, expanding known examples.
Findings
New construction method for gradient Ricci solitons
Necessary and sufficient conditions for existence
Examples of steady and shrinking Ricci solitons via quotients
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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