English

Operator $\Delta-aS$ on warped product manifolds

Differential Geometry 2024-09-16 v1

Abstract

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

Cite

@article{arxiv.2409.08818,
  title  = {Operator $\Delta-aS$ on warped product manifolds},
  author = {Ezequiel Barbosa and Mateus Souza and Celso Viana},
  journal= {arXiv preprint arXiv:2409.08818},
  year   = {2024}
}
R2 v1 2026-06-28T18:43:42.184Z