Geometric properties of second Ricci solitons
Differential Geometry
2025-12-09 v1
Abstract
This paper introduce the idea of second Ricci solitons. A second Ricci soliton is nothing but a steady hyperbolic Ricci soliton. We study the geometry of closed and compact second Ricci soliton manifolds. Immersed submanifolds as second solitons also will be investigated. Finally, we investigate this structure on warped product manifolds.
Cite
@article{arxiv.2512.06027,
title = {Geometric properties of second Ricci solitons},
author = {Masoumeh Khalili and Ghodratallah Fasihi-Ramandi and Shahroud Azami},
journal= {arXiv preprint arXiv:2512.06027},
year = {2025}
}