Mean-value property on manifolds with minimal horospheres

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dc.creatorTodjihounde, Leonard
dc.date2007-10-24
dc.date.accessioned2026-07-07T08:38:25Z
dc.date.available2026-07-07T08:38:25Z
dc.descriptionLet (M,g) be a non-compact and complete Riemannian manifold with minimal horospheres and infinite injectivity radius. We prove that bounded functions on (M,g) satisfying the mean-value property are constant. We extend thus a result of A. Ranjan and H. Shah who proved a similar result for bounded harmonic functions on harmonic manifolds with minimal horospheres.
dc.descriptionA slightly edited version will appear in Journal of the Australian Mathematical Society
dc.identifierhttps://arxiv.org/abs/0710.4494
dc.identifierhttp://arxiv.org/abs/0710.4494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140725
dc.subjectDifferential Geometry
dc.subject53C21; 53C25
dc.titleMean-value property on manifolds with minimal horospheres
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