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arXiv · 2409.08818

Operator $\Delta-aS$ on warped product manifolds

Ezequiel Barbosa·Mateus Souza·Celso Viana
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Abstract

In this work we studied the stability of the family of operators $L_a=\Delta-aS$, $a\in\mathbb R$, in a warped product of an infinite interval or real line by one compact manifold, where $\Delta$ is the Laplacian and $S$ is the scalar curvature of the resulting manifold.

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Ezequiel Barbosa, Mateus Souza, Celso Viana. 2024-09-13. Operator $\Delta-aS$ on warped product manifolds. https://arxiv.org/abs/2409.08818

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