Restricted mean value property on Riemannian manifolds

DOI10.1007/s12220-024-01555-3arXiv2307.05215OpenAlexW4392026400MaRDI QIDQ6123476

Kingshook Biswas, Utsav Dewan

Publication date: 4 March 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05215

zbMATH Keywords

harmonic measureharmonic functionsrestricted mean value propertynegatively curved Hadamard manifolds

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

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• The Dirichlet problem at infinity for a negatively curved manifold
• Positive harmonic functions on complete manifolds of negative curvature
• A converse to the mean value theorem for harmonic functions
• Harmonic measures on negatively curved manifolds
• On the Restricted Mean Value Property
• Functions Having the Restricted Mean Value Property
• On Sufficient Conditions for Harmonicity
• Littlewood's One Circle Problem
• Converses of Gauss' Theorem on the Arithmetic Mean
• Mean Value Theorems in Harmonic Riemannian Spaces

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