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arXiv · 2512.06027

Geometric properties of second Ricci solitons

Masoumeh Khalili·Ghodratallah Fasihi-Ramandi·Shahroud Azami
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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.

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Masoumeh Khalili, Ghodratallah Fasihi-Ramandi, Shahroud Azami. 2025-12-04. Geometric properties of second Ricci solitons. https://arxiv.org/abs/2512.06027

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