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arXiv · 2509.25081

Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry

Lucas Lavoyer·Luke T. Peachey
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Abstract

We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct examples with $O(p) \times O(q)$ symmetry in dimension $p+q$ for any pair of integers $p,q \geq 2$ and discuss their asymptotic geometry.

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Lucas Lavoyer, Luke T. Peachey. 2025-09-29. Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry. https://arxiv.org/abs/2509.25081

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