Christoffel symbol
Christoffel symbol noun: for a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,.
Noun
Christoffel symbol (plural Christoffel symbols)
- For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,
- ⃑x_uu\⃑x_uv\⃑x_vv=ΓᵤᵤᵘΓᵤᵤᵛl\ΓᵤᵥᵘΓᵤᵥᵛm\ΓᵥᵥᵘΓᵥᵥᵛn⃑x_u\⃑x_v\⃑n
Forms of Christoffel symbol
| plural | Christoffel symbols |
|---|
Origin of Christoffel symbol
Named for Elwin Bruno Christoffel (1829–1900).
Questions about Christoffel symbol
- What does Christoffel symbol mean?
- Christoffel symbol means for a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,.
- What part of speech is Christoffel symbol?
- Christoffel symbol is a noun.
- What is the plural of Christoffel symbol?
- The plural of Christoffel symbol is Christoffel symbols.
Words near Christoffel symbol in the dictionary
Source and license
Adapted from Wiktionary: Christoffel symbol (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “Christoffel symbol.” Word.ws, https://word.ws/christoffel_symbol. Based on Wiktionary, CC BY-SA 4.0.