---
date: 2022-04-05 23:42
modification date: Sunday 24th April 2022 18:10:23
title: "metric"
aliases: [metric, "bundle metric", "Riemannian metric", volume form, area form, top form]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---
- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

---

# metric

A metric is an [inner product](inner%20product) on fibers which smoothly varies.

![](attachments/Pasted%20image%2020220424181022.png)

# Volume forms


![](attachments/Pasted%20image%2020220424181147.png)

# Hermitian metric

![](attachments/Pasted%20image%2020220424181235.png)


# Hermitian space
![](attachments/Pasted%20image%2020220210214921.png)

# Hermitian Metric

![attachments/Pasted image 20210510012420.png](attachments/Pasted%20image%2020210510012420.png)