On the plant leaf's boundary, ``jupe à godets'' and conformal embeddings (Q2773143)
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scientific article; zbMATH DE number 1709284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the plant leaf's boundary, ``jupe à godets'' and conformal embeddings |
scientific article; zbMATH DE number 1709284 |
Statements
16 September 2002
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surface à godets
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conformal mapping
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Christoffel-Schwartz integral
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0.8625922
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0.84404075
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0.8317199
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0.82819355
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0.82797194
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On the plant leaf's boundary, ``jupe à godets'' and conformal embeddings (English)
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The authors study the stable profile of the boundary of a plant's leaf fluctuating in the direction transverse to the leaf's surface described in the framework of a model called a ``surface à godets'' (SG). They show that the information on the profile is encoded in the Jacobian of a conformal mapping corresponding to an isometric embedding of a uniform Cayley tree into the 3D Euclidean space. The growth of a random ``surface à godets'' is also studied.
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