Data di Pubblicazione:
2024
Citazione:
On Splitting Complete Manifolds via Infinity Harmonic Functions / D.J. Araújo, M. Magliaro, L. Mari, L.F. Pessoa. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1687-0247. - 2024:18(2024 Sep), pp. 12620-12644. [10.1093/imrn/rnae176]
Abstract:
In this paper, we prove some splitting results for manifolds supporting a non-constant infinity harmonic function which has at most linear growth on one side. Manifolds with non-negative Ricci or sectional curvature are considered. In dimension $2$, we extend Savin's theorem on Lipschitz infinity harmonic functions in the plane to every surface with non-negative sectional curvature.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
D.J. Araújo, M. Magliaro, L. Mari, L.F. Pessoa
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