---
date: 2022-04-05 23:42
aliases: ["covariant derivative", Christoffel symbols]
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Last modified: `=this.file.mday`

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [curvature](Unsorted/curvature.md)
	- [parallel transport](parallel%20transport)
	- [tangent space](Unsorted/tangent%20bundle.md)

---

# covariant derivative

![](attachments/2023-03-10covar.png)
![](attachments/Pasted%20image%2020220221004850.png)

![](attachments/Pasted%20image%2020220218024134.png)
![](attachments/Pasted%20image%2020210613122804.png)
![](attachments/Pasted%20image%2020210613122812.png)

![](attachments/Pasted%20image%2020220218024155.png)

# Christoffel symbols

![](attachments/2023-03-10christoffel.png)

# For tensor fields

See [parallel transport](Unsorted/curvature.md)

![](attachments/2023-03-10tensorfield.png)