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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.10792 |
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Table of Contents:
- 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.