説明
<jats:p>A discrete harmonic surface is a trivalent graph which satisfies the balancing condition in the 3-dimensional Euclidean space and achieves energy minimizing under local deformations. Given a topological trivalent graph, a holomorphic function, and an associated discrete holomorphic quadratic form, a version of the Weierstrass representation formula for discrete harmonic surfaces in the 3-dimensional Euclidean space is proposed. By using the formula, a smooth converging sequence of discrete harmonic surfaces is constructed, and its limit is a classical minimal surface defined with the same holomorphic data. As an application, we have a discrete approximation of the Enneper surface.</jats:p>
収録刊行物
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- Symmetry, Integrability and Geometry: Methods and Applications
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Symmetry, Integrability and Geometry: Methods and Applications 2024-04-17
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
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詳細情報 詳細情報について
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- CRID
- 1360584340725861248
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- ISSN
- 18150659
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE