On normal forms of gradient Ricci 4-solitons

Amir Babak Aazami

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arXiv · 2604.03894

On normal forms of gradient Ricci 4-solitons

Amir Babak Aazami

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Abstract

In this note we analyze the normal form of the operator $\hat{R} + \frac{1}{2}\hat{H}$ of a gradient Ricci 4-soliton in Cao & Tran. In particular, we show that the curvature operator $\hat{R}$ of the Koiso-Cao soliton inherits this normal form. By work of D. Johnson, this yields a normal form for the curvature operator of the Koiso-Cao soliton relative to the space of algebraic K\"ahler curvature operators.

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BibTeX RIS

Amir Babak Aazami. 2026-04-04. On normal forms of gradient Ricci 4-solitons. https://arxiv.org/abs/2604.03894

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