Harmonic functions on minimal submanifold with cylindrical cone
Differential Geometry
2025-09-16 v1
Abstract
In this paper, we study the relationship between the dimension of linear space of harmonic function with growth bounded by a fixed-degree polynomial on a minimal submanifold in Euclidean space and that on its one cylindrical tangent cone at infinity by using the method in [6, 7]. Specifically, if this degree does not coincide with any growth of polynomial-growth harmonic functions on the cone, then the corresponding dimensions are equal.
Keywords
Cite
@article{arxiv.2509.10792,
title = {Harmonic functions on minimal submanifold with cylindrical cone},
author = {Yu Wang},
journal= {arXiv preprint arXiv:2509.10792},
year = {2025}
}
Comments
10 pages