Superposition of Harmonic Surfaces: Helical Motifs in Lamellar Structures
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913085536600064 |
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| author | Vasu, Priyank |
| author_facet | Vasu, Priyank |
| contents | We study harmonic surfaces in $\mathbb{R}^3$ through the framework of harmonic Enneper immersions and prove a superposition principle for such surfaces. We prove that minimal and maximal surfaces admit a decomposition into harmonic components. Applications include the construction of finite and infinite configurations of helical motifs, an asymptotic analysis via multipole expansions, and the modelling of twist grain boundary phases in lamellar systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02257 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Superposition of Harmonic Surfaces: Helical Motifs in Lamellar Structures Vasu, Priyank Differential Geometry 53C42, 31A05, 53A10 We study harmonic surfaces in $\mathbb{R}^3$ through the framework of harmonic Enneper immersions and prove a superposition principle for such surfaces. We prove that minimal and maximal surfaces admit a decomposition into harmonic components. Applications include the construction of finite and infinite configurations of helical motifs, an asymptotic analysis via multipole expansions, and the modelling of twist grain boundary phases in lamellar systems. |
| title | Superposition of Harmonic Surfaces: Helical Motifs in Lamellar Structures |
| topic | Differential Geometry 53C42, 31A05, 53A10 |
| url | https://arxiv.org/abs/2605.02257 |