English

On a special class of gradient Ricci solitons

Differential Geometry 2026-04-14 v2

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

Keywords

Cite

@article{arxiv.2603.26903,
  title  = {On a special class of gradient Ricci solitons},
  author = {José Nazareno Vieira Gomes and Marcus Antonio Mendonça Marrocos},
  journal= {arXiv preprint arXiv:2603.26903},
  year   = {2026}
}

Comments

In this version, we have improved the clarity and presentation of the paper