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arXiv · 2104.08343

Commutator formulas for gradient Ricci shrinker and their application to linear stability

Mansour Mehrmohamadi·Asadollah Razavi
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Abstract

In this paper we have found some commutator formulas between $div_{f},\Delta_{f,L},div_{f}^\dagger,\Delta_{f}$ on closed orientable $GRS^+$ metrics (Gradient Ricci Shrinker), then with them we have generalized a Theorem of Cao and Zhu about necessary condition for linear stability of a $GRS^+$.

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Mansour Mehrmohamadi, Asadollah Razavi. 2021-04-16. Commutator formulas for gradient Ricci shrinker and their application to linear stability. https://arxiv.org/abs/2104.08343

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