Restricted Mean Value Property on Riemannian manifolds

Authors

Kingshook Biswas, Indian Statistical Institute, Kolkata
Utsav Dewan, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Geometric Analysis

Abstract

A well studied classical problem is the harmonicity of functions satisfying the restricted mean-value property (RMVP). While this has so far been studied mainly for domains in Rⁿ, we consider this problem in the general setting of domains in Riemannian manifolds, and obtain results generalizing classical results of Fenton. We also obtain a result for complete, simply connected Riemannian manifolds of pinched negative curvature where there is no restriction on the radius function in the RMVP.

DOI

10.1007/s12220-024-01555-3

Publication Date

4-1-2024

Recommended Citation

Biswas, Kingshook and Dewan, Utsav, "Restricted Mean Value Property on Riemannian manifolds" (2024). Journal Articles. 5042.
https://digitalcommons.isical.ac.in/journal-articles/5042