---
date: 2022-04-06 04:42
modification date: Sunday 7th August 2022 15:32:53
title: "Ricci curvature"
aliases: [Ricci curvature, Ricci tensor, Ricci, Ricci flow, Kahler-Einstein]
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Last modified date: <%+ tp.file.last_modified_date() %>

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- Tags: 
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- Refs:
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- Links:
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# Ricci curvature


- Ricci [[curvature]] tensor: ?
- Measures deviation of volumes of "geodesic balls" from Euclidean balls of the same radius.
- Ricci flat: Ricci curvature tensor vanishes
	- Correspond to vacuum solutions to (analogs of) Einstein's equations with zero cosmological constant

![](attachments/2023-03-05ricci.png)

![](attachments/Pasted%20image%2020220807153248.png)

## Ricci form

![](attachments/2023-03-08ricci.png)