Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,047 questions , 2,200 unanswered
5,345 answers , 22,709 comments
1,470 users with positive rep
816 active unimported users
More ...

  Are there any relation between Einstein structure on a Lie group and chirality of its Lie algebra?

+ 1 like - 0 dislike
2215 views

An Einstein structure is a  Riemannian metric on a manifold M such that $Ric=k g$   for  a  constant  $k$. $Ric$ is the Ricci tensor and $g$ is the metric tensor

https://link.springer.com/book/10.1007/978-3-540-74311-8

Are  there  any relations between existence of  an  Einstein structure on a Lie  group  and  chirality of its  Lie  algebra? Under  what  conditions  a Lie  group whose  Lie  algebra is  a  chiral algebra admit an Einstein structure?

asked Jun 20, 2023 in Theoretical Physics by AliTaghavi(Math) (140 points) [ revision history ]
recategorized Jul 5, 2023 by Dilaton

What is an Einstein structure? Please give a reference.

@ArnoldNeumaier   Thank you for your comment. An Einstein structure is a  Riemannian metric on a manifold M such that Ric=k g   for  a  constant  k. Ric is the Ricci tensor and g is the metric tensor

https://link.springer.com/book/10.1007/978-3-540-74311-8

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysics$\varnothing$verflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...