Harmonic functions on minimal submanifold with cylindrical cone
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914035913457664 |
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| author | Wang, Yu |
| author_facet | Wang, Yu |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harmonic functions on minimal submanifold with cylindrical cone Wang, Yu Differential Geometry 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. |
| title | Harmonic functions on minimal submanifold with cylindrical cone |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.10792 |